11621575111680 has 704 divisors, whose sum is σ = 42542096832000. Its totient is φ = 3006453252096.

The previous prime is 11621575111633. The next prime is 11621575111691. The reversal of 11621575111680 is 8611157512611.

11621575111680 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 1 + 57 + 511 + 1 + 6 + 80 = 666.

It is a super-2 number, since 2×11621575111680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1836238756 + ... + 1836245084.

Almost surely, 2^{11621575111680} is an apocalyptic number.

11621575111680 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 11621575111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21271048416000).

11621575111680 is an abundant number, since it is smaller than the sum of its proper divisors (30920521720320).

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

11621575111680 is a wasteful number, since it uses less digits than its factorization.

11621575111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759 (or 6735 counting only the distinct ones).

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

The spelling of 11621575111680 in words is "eleven trillion, six hundred twenty-one billion, five hundred seventy-five million, one hundred eleven thousand, six hundred eighty".