36025000051600 has 480 divisors, whose sum is σ = 102357928673280. Its totient is φ = 11928751441920.

The previous prime is 36025000051577. The next prime is 36025000051657. The reversal of 36025000051600 is 615000052063.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13249355041 + ... + 13249357759.

It is an arithmetic number, because the mean of its divisors is an integer number (213245684736).

Almost surely, 2^{36025000051600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36025000051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51178964336640).

36025000051600 is an abundant number, since it is smaller than the sum of its proper divisors (66332928621680).

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

36025000051600 is a wasteful number, since it uses less digits than its factorization.

36025000051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 36025000051600 in words is "thirty-six trillion, twenty-five billion, fifty-one thousand, six hundred".