10872101560320 has 5376 divisors, whose sum is σ = 56026274088960. Its totient is φ = 1961990553600.

The previous prime is 10872101560241. The next prime is 10872101560367. The reversal of 10872101560320 is 2306510127801.

10872101560320 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 2 + 10 + 15 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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 383 ways as a sum of consecutive naturals, for example, 178231173090 + ... + 178231173150.

It is an arithmetic number, because the mean of its divisors is an integer number (10421553960).

Almost surely, 2^{10872101560320} is an apocalyptic number.

10872101560320 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 10872101560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28013137044480).

10872101560320 is an abundant number, since it is smaller than the sum of its proper divisors (45154172528640).

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

10872101560320 is a wasteful number, since it uses less digits than its factorization.

10872101560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10872101560320 in words is "ten trillion, eight hundred seventy-two billion, one hundred one million, five hundred sixty thousand, three hundred twenty".