10297457424000 has 896 divisors, whose sum is σ = 38770010145360. Its totient is φ = 2718489600000.

The previous prime is 10297457423989. The next prime is 10297457424041. The reversal of 10297457424000 is 42475479201.

10297457424000 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 74 + 574 + 2 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 906959094336 + 9390498329664 = 952344^2 + 3064392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1178059630 + ... + 1178068370.

Almost surely, 2^{10297457424000} is an apocalyptic number.

10297457424000 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 10297457424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385005072680).

10297457424000 is an abundant number, since it is smaller than the sum of its proper divisors (28472552721360).

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

10297457424000 is an frugal number, since it uses more digits than its factorization.

10297457424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10297457424000 in words is "ten trillion, two hundred ninety-seven billion, four hundred fifty-seven million, four hundred twenty-four thousand".