36099749534400 has 504 divisors, whose sum is σ = 137349249710400. Its totient is φ = 8965357516800.

The previous prime is 36099749534399. The next prime is 36099749534441. The reversal of 36099749534400 is 443594799063.

36099749534400 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 97 + 4 + 9 + 534 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15024235 + ... + 17260565.

It is an arithmetic number, because the mean of its divisors is an integer number (272518352600).

Almost surely, 2^{36099749534400} is an apocalyptic number.

36099749534400 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 36099749534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68674624855200).

36099749534400 is an abundant number, since it is smaller than the sum of its proper divisors (101249500176000).

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

36099749534400 is a wasteful number, since it uses less digits than its factorization.

36099749534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236437 (or 2236419 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 36099749534400 in words is "thirty-six trillion, ninety-nine billion, seven hundred forty-nine million, five hundred thirty-four thousand, four hundred".