36581825280 has 1152 divisors, whose sum is σ = 162454634496. Its totient is φ = 6768230400.

The previous prime is 36581825263. The next prime is 36581825299. The reversal of 36581825280 is 8252818563.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119158887 + ... + 119159193.

It is an arithmetic number, because the mean of its divisors is an integer number (141019648).

Almost surely, 2^36581825280 is an apocalyptic number.

36581825280 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 36581825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81227317248).

36581825280 is an abundant number, since it is smaller than the sum of its proper divisors (125872809216).

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

36581825280 is a wasteful number, since it uses less digits than its factorization.

36581825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 36581825280 in words is "thirty-six billion, five hundred eighty-one million, eight hundred twenty-five thousand, two hundred eighty".