10524112992000 has 864 divisors, whose sum is σ = 39335101303680. Its totient is φ = 2698562764800.

The previous prime is 10524112991993. The next prime is 10524112992013. The reversal of 10524112992000 is 29921142501.

10524112992000 is a `hidden beast` number, since 1 + 0 + 524 + 1 + 129 + 9 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10524112992000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2146461549 + ... + 2146466451.

It is an arithmetic number, because the mean of its divisors is an integer number (45526737620).

Almost surely, 2^{10524112992000} is an apocalyptic number.

10524112992000 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 10524112992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667550651840).

10524112992000 is an abundant number, since it is smaller than the sum of its proper divisors (28810988311680).

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

10524112992000 is a wasteful number, since it uses less digits than its factorization.

10524112992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10524112992000 in words is "ten trillion, five hundred twenty-four billion, one hundred twelve million, nine hundred ninety-two thousand".