10870617600000 has 936 divisors, whose sum is σ = 39529283713920. Its totient is φ = 2878095360000.

The previous prime is 10870617599981. The next prime is 10870617600061. The reversal of 10870617600000 is 671607801.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 22694399761 + ... + 22694400239.

It is an arithmetic number, because the mean of its divisors is an integer number (42232140720).

Almost surely, 2^{10870617600000} is an apocalyptic number.

10870617600000 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 10870617600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764641856960).

10870617600000 is an abundant number, since it is smaller than the sum of its proper divisors (28658666113920).

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

10870617600000 is an frugal number, since it uses more digits than its factorization.

10870617600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10870617600000 in words is "ten trillion, eight hundred seventy billion, six hundred seventeen million, six hundred thousand".