35493728256 has 1040 divisors, whose sum is σ = 137011184640. Its totient is φ = 8918138880.

The previous prime is 35493728233. The next prime is 35493728269. The reversal of 35493728256 is 65282739453.

35493728256 is a `hidden beast` number, since 3 + 5 + 493 + 72 + 82 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10886400) is a multiple of the sum of its prime factors (120).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1144958961 + ... + 1144958991.

Almost surely, 2^35493728256 is an apocalyptic number.

35493728256 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 35493728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68505592320).

35493728256 is an abundant number, since it is smaller than the sum of its proper divisors (101517456384).

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

35493728256 is a wasteful number, since it uses less digits than its factorization.

35493728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 35493728256 in words is "thirty-five billion, four hundred ninety-three million, seven hundred twenty-eight thousand, two hundred fifty-six".