35538856139904 has 256 divisors, whose sum is σ = 103042976601600. Its totient is φ = 10787022766080.

The previous prime is 35538856139861. The next prime is 35538856139929. The reversal of 35538856139904 is 40993165883553.

It is a super-2 number, since 2×35538856139904² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191395332 + ... + 191580924.

It is an arithmetic number, because the mean of its divisors is an integer number (402511627350).

Almost surely, 2^{35538856139904} 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 35538856139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51521488300800).

35538856139904 is an abundant number, since it is smaller than the sum of its proper divisors (67504120461696).

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

35538856139904 is a wasteful number, since it uses less digits than its factorization.

35538856139904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186143 (or 186131 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 69.

The spelling of 35538856139904 in words is "thirty-five trillion, five hundred thirty-eight billion, eight hundred fifty-six million, one hundred thirty-nine thousand, nine hundred four".