10552392979632 has 240 divisors, whose sum is σ = 35243015731200. Its totient is φ = 3014237681280.

The previous prime is 10552392979621. The next prime is 10552392979637. The reversal of 10552392979632 is 23697929325501.

It is a happy number.

10552392979632 is a `hidden beast` number, since 1 + 0 + 5 + 523 + 9 + 2 + 9 + 79 + 6 + 32 = 666.

It is a super-2 number, since 2×10552392979632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10552392979632.

It is not an unprimeable number, because it can be changed into a prime (10552392979637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90350169 + ... + 90466887.

It is an arithmetic number, because the mean of its divisors is an integer number (146845898880).

Almost surely, 2^{10552392979632} is an apocalyptic number.

10552392979632 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 10552392979632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621507865600).

10552392979632 is an abundant number, since it is smaller than the sum of its proper divisors (24690622751568).

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

10552392979632 is a wasteful number, since it uses less digits than its factorization.

10552392979632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121021 (or 121002 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 10552392979632 in words is "ten trillion, five hundred fifty-two billion, three hundred ninety-two million, nine hundred seventy-nine thousand, six hundred thirty-two".