2115985711104 has 672 divisors, whose sum is σ = 6931679279616. Its totient is φ = 642105999360.

The previous prime is 2115985711097. The next prime is 2115985711117. The reversal of 2115985711104 is 4011175895112.

2115985711104 is a `hidden beast` number, since 2 + 1 + 1 + 598 + 57 + 1 + 1 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2115985711104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049074704 + ... + 1049076720.

It is an arithmetic number, because the mean of its divisors is an integer number (10314998928).

Almost surely, 2^{2115985711104} is an apocalyptic number.

2115985711104 is a gapful number since it is divisible by the number (24) 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 2115985711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465839639808).

2115985711104 is an abundant number, since it is smaller than the sum of its proper divisors (4815693568512).

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

2115985711104 is an equidigital number, since it uses as much as digits as its factorization.

2115985711104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 2115985711104 in words is "two trillion, one hundred fifteen billion, nine hundred eighty-five million, seven hundred eleven thousand, one hundred four".