10127572416 has 336 divisors, whose sum is σ = 32252351040. Its totient is φ = 3037132800.

The previous prime is 10127572391. The next prime is 10127572447. The reversal of 10127572416 is 61427572101.

10127572416 is a `hidden beast` number, since 101 + 2 + 75 + 72 + 416 = 666.

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 47 ways as a sum of consecutive naturals, for example, 67069941 + ... + 67070091.

It is an arithmetic number, because the mean of its divisors is an integer number (95989140).

Almost surely, 2^10127572416 is an apocalyptic number.

10127572416 is a gapful number since it is divisible by the number (16) 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 10127572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126175520).

10127572416 is an abundant number, since it is smaller than the sum of its proper divisors (22124778624).

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

10127572416 is a wasteful number, since it uses less digits than its factorization.

10127572416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10127572416 in words is "ten billion, one hundred twenty-seven million, five hundred seventy-two thousand, four hundred sixteen".