35855668352 has 64 divisors (see below), whose sum is σ = 82259115840. Its totient is φ = 15249361920.

The previous prime is 35855668333. The next prime is 35855668361. The reversal of 35855668352 is 25386655853.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×35855668352² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35363 + ... + 270114.

It is an arithmetic number, because the mean of its divisors is an integer number (1285298685).

Almost surely, 2^35855668352 is an apocalyptic number.

35855668352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35855668352 is an abundant number, since it is smaller than the sum of its proper divisors (46403447488).

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

35855668352 is a wasteful number, since it uses less digits than its factorization.

35855668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305629 (or 305617 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 56.

The spelling of 35855668352 in words is "thirty-five billion, eight hundred fifty-five million, six hundred sixty-eight thousand, three hundred fifty-two".