10257007320 has 720 divisors, whose sum is σ = 42651599760. Its totient is φ = 2200214016.

The previous prime is 10257007249. The next prime is 10257007331. The reversal of 10257007320 is 2370075201.

10257007320 is a `hidden beast` number, since 1 + 0 + 2 + 570 + 0 + 73 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 193528414 + ... + 193528466.

It is an arithmetic number, because the mean of its divisors is an integer number (59238333).

Almost surely, 2^10257007320 is an apocalyptic number.

10257007320 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 10257007320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21325799880).

10257007320 is an abundant number, since it is smaller than the sum of its proper divisors (32394592440).

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

10257007320 is a wasteful number, since it uses less digits than its factorization.

10257007320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 10257007320 in words is "ten billion, two hundred fifty-seven million, seven thousand, three hundred twenty".