10553760000 has 720 divisors, whose sum is σ = 44698192000. Its totient is φ = 2405376000.

The previous prime is 10553759981. The next prime is 10553760017. The reversal of 10553760000 is 6735501.

10553760000 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10553760000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30239826 + ... + 30240174.

Almost surely, 2^10553760000 is an apocalyptic number.

10553760000 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 10553760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22349096000).

10553760000 is an abundant number, since it is smaller than the sum of its proper divisors (34144432000).

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

10553760000 is an frugal number, since it uses more digits than its factorization.

10553760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 10553760000 in words is "ten billion, five hundred fifty-three million, seven hundred sixty thousand".