11311713518880 has 384 divisors, whose sum is σ = 38389442144256. Its totient is φ = 2794210099200.

The previous prime is 11311713518857. The next prime is 11311713518891. The reversal of 11311713518880 is 8881531711311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32159322 + ... + 32509158.

It is an arithmetic number, because the mean of its divisors is an integer number (99972505584).

Almost surely, 2^{11311713518880} is an apocalyptic number.

11311713518880 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 11311713518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194721072128).

11311713518880 is an abundant number, since it is smaller than the sum of its proper divisors (27077728625376).

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

11311713518880 is a wasteful number, since it uses less digits than its factorization.

11311713518880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349980 (or 349972 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 48.

The spelling of 11311713518880 in words is "eleven trillion, three hundred eleven billion, seven hundred thirteen million, five hundred eighteen thousand, eight hundred eighty".