10572653952 has 384 divisors, whose sum is σ = 36830976000. Its totient is φ = 3017710080.

The previous prime is 10572653921. The next prime is 10572653981. The reversal of 10572653952 is 25935627501.

10572653952 is a `hidden beast` number, since 10 + 57 + 2 + 6 + 539 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10572653952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10572653898 and 10572653907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10668177 + ... + 10669167.

It is an arithmetic number, because the mean of its divisors is an integer number (95914000).

Almost surely, 2^10572653952 is an apocalyptic number.

10572653952 is a gapful number since it is divisible by the number (12) 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 10572653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415488000).

10572653952 is an abundant number, since it is smaller than the sum of its proper divisors (26258322048).

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

10572653952 is an frugal number, since it uses more digits than its factorization.

10572653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 10572653952 in words is "ten billion, five hundred seventy-two million, six hundred fifty-three thousand, nine hundred fifty-two".