10297468127232 has 384 divisors, whose sum is σ = 35836386768000. Its totient is φ = 2880408453120.

The previous prime is 10297468127203. The next prime is 10297468127263. The reversal of 10297468127232 is 23272186479201.

10297468127232 is a `hidden beast` number, since 1 + 0 + 29 + 7 + 468 + 127 + 2 + 32 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 7256194 + ... + 8558462.

It is an arithmetic number, because the mean of its divisors is an integer number (93323923875).

Almost surely, 2^{10297468127232} is an apocalyptic number.

10297468127232 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 10297468127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918193384000).

10297468127232 is an abundant number, since it is smaller than the sum of its proper divisors (25538918640768).

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

10297468127232 is a wasteful number, since it uses less digits than its factorization.

10297468127232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302324 (or 1302298 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10297468127232 in words is "ten trillion, two hundred ninety-seven billion, four hundred sixty-eight million, one hundred twenty-seven thousand, two hundred thirty-two".