11514810961920 has 1664 divisors, whose sum is σ = 44756986982400. Its totient is φ = 2524824207360.

The previous prime is 11514810961919. The next prime is 11514810961937. The reversal of 11514810961920 is 2916901841511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11514810961920.

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, 87899320255 + ... + 87899320385.

Almost surely, 2^{11514810961920} is an apocalyptic number.

11514810961920 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 11514810961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22378493491200).

11514810961920 is an abundant number, since it is smaller than the sum of its proper divisors (33242176020480).

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

11514810961920 is an equidigital number, since it uses as much as digits as its factorization.

11514810961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The spelling of 11514810961920 in words is "eleven trillion, five hundred fourteen billion, eight hundred ten million, nine hundred sixty-one thousand, nine hundred twenty".