11621115297792 has 1632 divisors, whose sum is σ = 46809082145280. Its totient is φ = 2786281390080.

The previous prime is 11621115297767. The next prime is 11621115297817. The reversal of 11621115297792 is 29779251112611.

It is a happy number.

11621115297792 is a `hidden beast` number, since 1 + 1 + 6 + 21 + 1 + 1 + 529 + 7 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (11621115297767) and next prime (11621115297817).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (952560) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 893931945978 + ... + 893931945990.

Almost surely, 2^{11621115297792} is an apocalyptic number.

11621115297792 is a gapful number since it is divisible by the number (12) 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 11621115297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23404541072640).

11621115297792 is an abundant number, since it is smaller than the sum of its proper divisors (35187966847488).

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

11621115297792 is an frugal number, since it uses more digits than its factorization.

11621115297792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its digits is 952560, while the sum is 54.

The spelling of 11621115297792 in words is "eleven trillion, six hundred twenty-one billion, one hundred fifteen million, two hundred ninety-seven thousand, seven hundred ninety-two".