10012538952 has 192 divisors, whose sum is σ = 30499560000. Its totient is φ = 3058953984.

The previous prime is 10012538951. The next prime is 10012538953. The reversal of 10012538952 is 25983521001.

10012538952 is a `hidden beast` number, since 100 + 12 + 538 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10012538951) and next prime (10012538953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10012538951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3764199 + ... + 3766857.

It is an arithmetic number, because the mean of its divisors is an integer number (158851875).

Almost surely, 2^10012538952 is an apocalyptic number.

10012538952 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 10012538952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249780000).

10012538952 is an abundant number, since it is smaller than the sum of its proper divisors (20487021048).

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

10012538952 is a wasteful number, since it uses less digits than its factorization.

10012538952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10012538952 in words is "ten billion, twelve million, five hundred thirty-eight thousand, nine hundred fifty-two".