2136648720960 has 1008 divisors, whose sum is σ = 8870238149760. Its totient is φ = 468918927360.

The previous prime is 2136648720919. The next prime is 2136648720967. The reversal of 2136648720960 is 690278466312.

2136648720960 is a `hidden beast` number, since 2 + 13 + 66 + 487 + 2 + 0 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2136648720897 and 2136648720906.

It is not an unprimeable number, because it can be changed into a prime (2136648720967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157203765 + ... + 157217355.

Almost surely, 2^{2136648720960} is an apocalyptic number.

2136648720960 is a gapful number since it is divisible by the number (20) 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 2136648720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435119074880).

2136648720960 is an abundant number, since it is smaller than the sum of its proper divisors (6733589428800).

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

2136648720960 is a wasteful number, since it uses less digits than its factorization.

2136648720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13676 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2136648720960 in words is "two trillion, one hundred thirty-six billion, six hundred forty-eight million, seven hundred twenty thousand, nine hundred sixty".