10252606464 has 264 divisors, whose sum is σ = 30797655408. Its totient is φ = 3282370560.

The previous prime is 10252606453. The next prime is 10252606513. The reversal of 10252606464 is 46460625201.

10252606464 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 6 + 0 + 646 + 4 = 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 23 ways as a sum of consecutive naturals, for example, 36486004 + ... + 36486284.

Almost surely, 2^10252606464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10252606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398827704).

10252606464 is an abundant number, since it is smaller than the sum of its proper divisors (20545048944).

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

10252606464 is a wasteful number, since it uses less digits than its factorization.

10252606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10252606464 in words is "ten billion, two hundred fifty-two million, six hundred six thousand, four hundred sixty-four".