10052814292992 has 1152 divisors, whose sum is σ = 33271462748160. Its totient is φ = 3021815808000.

The previous prime is 10052814292973. The next prime is 10052814293017. The reversal of 10052814292992 is 29929241825001.

10052814292992 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 81 + 429 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14548211367 + ... + 14548212057.

It is an arithmetic number, because the mean of its divisors is an integer number (28881478080).

Almost surely, 2^{10052814292992} is an apocalyptic number.

10052814292992 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 10052814292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635731374080).

10052814292992 is an abundant number, since it is smaller than the sum of its proper divisors (23218648455168).

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

10052814292992 is an equidigital number, since it uses as much as digits as its factorization.

10052814292992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10052814292992 in words is "ten trillion, fifty-two billion, eight hundred fourteen million, two hundred ninety-two thousand, nine hundred ninety-two".