10507528003320 has 96 divisors (see below), whose sum is σ = 34462763992800. Its totient is φ = 2776300966656.

The previous prime is 10507528003267. The next prime is 10507528003337. The reversal of 10507528003320 is 2330082570501.

It is a happy number.

10507528003320 is a `hidden beast` number, since 1 + 0 + 50 + 7 + 5 + 280 + 0 + 3 + 320 = 666.

It is a super-2 number, since 2×10507528003320² (a number of 27 digits) contains 22 as substring.

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, 133848732 + ... + 133927211.

It is an arithmetic number, because the mean of its divisors is an integer number (358987124925).

Almost surely, 2^{10507528003320} is an apocalyptic number.

10507528003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10507528003320 is an abundant number, since it is smaller than the sum of its proper divisors (23955235989480).

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

10507528003320 is a wasteful number, since it uses less digits than its factorization.

10507528003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267776069 (or 267776062 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10507528003320 in words is "ten trillion, five hundred seven billion, five hundred twenty-eight million, three thousand, three hundred twenty".