35556797952 has 480 divisors, whose sum is σ = 115071884928. Its totient is φ = 10500046848.

The previous prime is 35556797921. The next prime is 35556797971. The reversal of 35556797952 is 25979765553.

It is a happy number.

35556797952 is a `hidden beast` number, since 3 + 5 + 556 + 7 + 9 + 79 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35556797952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205530538 + ... + 205530710.

Almost surely, 2^35556797952 is an apocalyptic number.

35556797952 is a gapful number since it is divisible by the number (32) 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 35556797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57535942464).

35556797952 is an abundant number, since it is smaller than the sum of its proper divisors (79515086976).

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

35556797952 is a wasteful number, since it uses less digits than its factorization.

35556797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its digits is 89302500, while the sum is 63.

The spelling of 35556797952 in words is "thirty-five billion, five hundred fifty-six million, seven hundred ninety-seven thousand, nine hundred fifty-two".