10215880516080 has 280 divisors, whose sum is σ = 35619740117808. Its totient is φ = 2723611557888.

The previous prime is 10215880516073. The next prime is 10215880516141. The reversal of 10215880516080 is 8061508851201.

10215880516080 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 58 + 8 + 0 + 516 + 0 + 80 = 666.

10215880516080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 291174219 + ... + 291209301.

Almost surely, 2^{10215880516080} is an apocalyptic number.

10215880516080 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 10215880516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809870058904).

10215880516080 is an abundant number, since it is smaller than the sum of its proper divisors (25403859601728).

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

10215880516080 is an equidigital number, since it uses as much as digits as its factorization.

10215880516080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40107 (or 40086 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 10215880516080 in words is "ten trillion, two hundred fifteen billion, eight hundred eighty million, five hundred sixteen thousand, eighty".