540502525200 has 240 divisors, whose sum is σ = 1889769689856. Its totient is φ = 130964390400.

The previous prime is 540502525187. The next prime is 540502525229. The reversal of 540502525200 is 2525205045.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29070307 + ... + 29088893.

Almost surely, 2^540502525200 is an apocalyptic number.

540502525200 is a gapful number since it is divisible by the number (50) 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 540502525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944884844928).

540502525200 is an abundant number, since it is smaller than the sum of its proper divisors (1349267164656).

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

540502525200 is a wasteful number, since it uses less digits than its factorization.

540502525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20822 (or 20811 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The spelling of 540502525200 in words is "five hundred forty billion, five hundred two million, five hundred twenty-five thousand, two hundred".