33980522776992 has 864 divisors, whose sum is σ = 113782780919808. Its totient is φ = 9595200384000.

The previous prime is 33980522776973. The next prime is 33980522776997. The reversal of 33980522776992 is 29967722508933.

It is a happy number.

33980522776992 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 0 + 522 + 7 + 7 + 6 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 33980522776992.

It is not an unprimeable number, because it can be changed into a prime (33980522776997) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3298114113 + ... + 3298124415.

It is an arithmetic number, because the mean of its divisors is an integer number (131693033472).

Almost surely, 2^{33980522776992} is an apocalyptic number.

33980522776992 is a gapful number since it is divisible by the number (32) 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 33980522776992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56891390459904).

33980522776992 is an abundant number, since it is smaller than the sum of its proper divisors (79802258142816).

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

33980522776992 is a wasteful number, since it uses less digits than its factorization.

33980522776992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 33980522776992 in words is "thirty-three trillion, nine hundred eighty billion, five hundred twenty-two million, seven hundred seventy-six thousand, nine hundred ninety-two".