10534551552000 has 2052 divisors, whose sum is σ = 45878348399364. Its totient is φ = 2407897497600.

The previous prime is 10534551551999. The next prime is 10534551552043. The reversal of 10534551552000 is 25515543501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 9! ⋅ (2!)³.

10534551552000 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 551 + 55 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337105649664 + 10197445902336 = 580608^2 + 3193344^2 .

It is a super-2 number, since 2×10534551552000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1504935935997 + ... + 1504935936003.

Almost surely, 2^{10534551552000} is an apocalyptic number.

10534551552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534551552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939174199682).

10534551552000 is an abundant number, since it is smaller than the sum of its proper divisors (35343796847364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10534551552000 is an frugal number, since it uses more digits than its factorization.

10534551552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 10534551552000 in words is "ten trillion, five hundred thirty-four billion, five hundred fifty-one million, five hundred fifty-two thousand".