10572010800 has 240 divisors, whose sum is σ = 37249282560. Its totient is φ = 2546795520.

The previous prime is 10572010783. The next prime is 10572010807. The reversal of 10572010800 is 801027501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10572010800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10572010807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 725991 + ... + 740409.

It is an arithmetic number, because the mean of its divisors is an integer number (155205344).

Almost surely, 2^10572010800 is an apocalyptic number.

10572010800 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 10572010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624641280).

10572010800 is an abundant number, since it is smaller than the sum of its proper divisors (26677271760).

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

10572010800 is a wasteful number, since it uses less digits than its factorization.

10572010800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14500 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The spelling of 10572010800 in words is "ten billion, five hundred seventy-two million, ten thousand, eight hundred".