35057032920 has 384 divisors, whose sum is σ = 140870620800. Its totient is φ = 7362772992.

The previous prime is 35057032873. The next prime is 35057032963. The reversal of 35057032920 is 2923075053.

35057032920 is a `hidden beast` number, since 3 + 50 + 570 + 32 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7499704 + ... + 7504376.

It is an arithmetic number, because the mean of its divisors is an integer number (366850575).

Almost surely, 2^35057032920 is an apocalyptic number.

35057032920 is a gapful number since it is divisible by the number (30) 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 35057032920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70435310400).

35057032920 is an abundant number, since it is smaller than the sum of its proper divisors (105813587880).

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

35057032920 is a wasteful number, since it uses less digits than its factorization.

35057032920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 35057032920 in words is "thirty-five billion, fifty-seven million, thirty-two thousand, nine hundred twenty".