11775040992 has 576 divisors, whose sum is σ = 42479603712. Its totient is φ = 3041280000.

The previous prime is 11775040951. The next prime is 11775040993. The reversal of 11775040992 is 29904057711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11775040993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29363992 + ... + 29364392.

It is an arithmetic number, because the mean of its divisors is an integer number (73749312).

Almost surely, 2^11775040992 is an apocalyptic number.

11775040992 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 11775040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21239801856).

11775040992 is an abundant number, since it is smaller than the sum of its proper divisors (30704562720).

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

11775040992 is a wasteful number, since it uses less digits than its factorization.

11775040992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 11775040992 in words is "eleven billion, seven hundred seventy-five million, forty thousand, nine hundred ninety-two".