10527970320 has 240 divisors, whose sum is σ = 42164658432. Its totient is φ = 2301742080.

The previous prime is 10527970291. The next prime is 10527970393. The reversal of 10527970320 is 2307972501.

10527970320 is a `hidden beast` number, since 10 + 527 + 97 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10527970320² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70510 + ... + 161330.

Almost surely, 2^10527970320 is an apocalyptic number.

10527970320 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 10527970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21082329216).

10527970320 is an abundant number, since it is smaller than the sum of its proper divisors (31636688112).

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

10527970320 is a wasteful number, since it uses less digits than its factorization.

10527970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90870 (or 90861 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10527970320 in words is "ten billion, five hundred twenty-seven million, nine hundred seventy thousand, three hundred twenty".