35874853056 has 504 divisors, whose sum is σ = 123800168960. Its totient is φ = 9726013440.

The previous prime is 35874853033. The next prime is 35874853061. The reversal of 35874853056 is 65035847853.

35874853056 is a `hidden beast` number, since 3 + 5 + 87 + 485 + 30 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 35874852993 and 35874853011.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454112025 + ... + 454112103.

Almost surely, 2^35874853056 is an apocalyptic number.

35874853056 is a gapful number since it is divisible by the number (36) 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 35874853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61900084480).

35874853056 is an abundant number, since it is smaller than the sum of its proper divisors (87925315904).

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

35874853056 is a wasteful number, since it uses less digits than its factorization.

35874853056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 35874853056 in words is "thirty-five billion, eight hundred seventy-four million, eight hundred fifty-three thousand, fifty-six".