10052457277632 has 896 divisors, whose sum is σ = 34505674334208. Its totient is φ = 2507452416000.

The previous prime is 10052457277619. The next prime is 10052457277669. The reversal of 10052457277632 is 23677275425001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16726218132 + ... + 16726218732.

It is an arithmetic number, because the mean of its divisors is an integer number (38510797248).

Almost surely, 2^{10052457277632} is an apocalyptic number.

10052457277632 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 10052457277632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252837167104).

10052457277632 is an abundant number, since it is smaller than the sum of its proper divisors (24453217056576).

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

10052457277632 is a wasteful number, since it uses less digits than its factorization.

10052457277632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 10052457277632 in words is "ten trillion, fifty-two billion, four hundred fifty-seven million, two hundred seventy-seven thousand, six hundred thirty-two".