10532556800000 has 384 divisors, whose sum is σ = 26708922941400. Its totient is φ = 4152360960000.

The previous prime is 10532556799993. The next prime is 10532556800023. The reversal of 10532556800000 is 865523501.

It can be written as a sum of positive squares in 12 ways, for example, as 7921928126464 + 2610628673536 = 2814592^2 + 1615744^2 .

It is a super-2 number, since 2×10532556800000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7475199296 + ... + 7475200704.

Almost surely, 2^{10532556800000} is an apocalyptic number.

10532556800000 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 10532556800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354461470700).

10532556800000 is an abundant number, since it is smaller than the sum of its proper divisors (16176366141400).

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

10532556800000 is an frugal number, since it uses more digits than its factorization.

10532556800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 10532556800000 in words is "ten trillion, five hundred thirty-two billion, five hundred fifty-six million, eight hundred thousand".