35625600000 has 396 divisors, whose sum is σ = 128680896708. Its totient is φ = 9492480000.

The previous prime is 35625599981. The next prime is 35625600007. The reversal of 35625600000 is 652653.

35625600000 is a `hidden beast` number, since 3 + 56 + 2 + 5 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25426215936 + 10199384064 = 159456^2 + 100992^2 .

It is not an unprimeable number, because it can be changed into a prime (35625600007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28799382 + ... + 28800618.

Almost surely, 2^35625600000 is an apocalyptic number.

35625600000 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 35625600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64340448354).

35625600000 is an abundant number, since it is smaller than the sum of its proper divisors (93055296708).

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

35625600000 is an equidigital number, since it uses as much as digits as its factorization.

35625600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 35625600000 in words is "thirty-five billion, six hundred twenty-five million, six hundred thousand".