35238820762992 has 480 divisors, whose sum is σ = 119579160729600. Its totient is φ = 8831966976000.

The previous prime is 35238820762949. The next prime is 35238820763009. The reversal of 35238820762992 is 29926702883253.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1319743242 + ... + 1319769942.

It is an arithmetic number, because the mean of its divisors is an integer number (249123251520).

Almost surely, 2^{35238820762992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35238820762992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59789580364800).

35238820762992 is an abundant number, since it is smaller than the sum of its proper divisors (84340339966608).

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

35238820762992 is a wasteful number, since it uses less digits than its factorization.

35238820762992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28525 (or 28512 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 35238820762992 in words is "thirty-five trillion, two hundred thirty-eight billion, eight hundred twenty million, seven hundred sixty-two thousand, nine hundred ninety-two".