35538874560 has 336 divisors, whose sum is σ = 139922804736. Its totient is φ = 8110319616.

The previous prime is 35538874529. The next prime is 35538874601. The reversal of 35538874560 is 6547883553.

35538874560 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 8 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 35538874497 and 35538874506.

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, 19493809 + ... + 19495631.

Almost surely, 2^35538874560 is an apocalyptic number.

35538874560 is a gapful number since it is divisible by the number (30) 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 35538874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69961402368).

35538874560 is an abundant number, since it is smaller than the sum of its proper divisors (104383930176).

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

35538874560 is a wasteful number, since it uses less digits than its factorization.

35538874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2807 counting only the distinct ones).

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

The spelling of 35538874560 in words is "thirty-five billion, five hundred thirty-eight million, eight hundred seventy-four thousand, five hundred sixty".