11633820656640 has 1408 divisors, whose sum is σ = 47540183040000. Its totient is φ = 2412166643712.

The previous prime is 11633820656629. The next prime is 11633820656659. The reversal of 11633820656640 is 4665602833611.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4040922721 + ... + 4040925599.

Almost surely, 2^{11633820656640} is an apocalyptic number.

11633820656640 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 11633820656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23770091520000).

11633820656640 is an abundant number, since it is smaller than the sum of its proper divisors (35906362383360).

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

11633820656640 is a wasteful number, since it uses less digits than its factorization.

11633820656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 11633820656640 in words is "eleven trillion, six hundred thirty-three billion, eight hundred twenty million, six hundred fifty-six thousand, six hundred forty".