10252321920 has 192 divisors, whose sum is σ = 37485410040. Its totient is φ = 2573107200.

The previous prime is 10252321909. The next prime is 10252321931. The reversal of 10252321920 is 2912325201.

It is a happy number.

10252321920 is a `hidden beast` number, since 1 + 0 + 252 + 321 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10252321909) and next prime (10252321931).

It can be written as a sum of positive squares in 4 ways, for example, as 10011203136 + 241118784 = 100056^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10252321920² (a number of 21 digits) contains 22 as substring.

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, 45570 + ... + 150270.

Almost surely, 2^10252321920 is an apocalyptic number.

10252321920 is a gapful number since it is divisible by the number (10) 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 10252321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742705020).

10252321920 is an abundant number, since it is smaller than the sum of its proper divisors (27233088120).

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

10252321920 is a wasteful number, since it uses less digits than its factorization.

10252321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104743 (or 104728 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10252321920 in words is "ten billion, two hundred fifty-two million, three hundred twenty-one thousand, nine hundred twenty".