35625499064100 has 405 divisors, whose sum is σ = 126957789763651. Its totient is φ = 8635052131200.

The previous prime is 35625499064087. The next prime is 35625499064189. The reversal of 35625499064100 is 146099452653.

The square root of 35625499064100 is 5968710.

It is a perfect power (a square), and thus also a powerful number.

35625499064100 is a `hidden beast` number, since 3 + 5 + 6 + 2 + 549 + 90 + 6 + 4 + 1 + 0 + 0 = 666.

35625499064100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5029909620516 + 30595589443584 = 2242746^2 + 5531328^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5909019886 + ... + 5909025914.

Almost surely, 2^{35625499064100} is an apocalyptic number.

35625499064100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35625499064100 is the 5968710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35625499064100

35625499064100 is an abundant number, since it is smaller than the sum of its proper divisors (91332290699551).

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

35625499064100 is an equidigital number, since it uses as much as digits as its factorization.

35625499064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 35625499064100 in words is "thirty-five trillion, six hundred twenty-five billion, four hundred ninety-nine million, sixty-four thousand, one hundred".