202536542880 has 1536 divisors, whose sum is σ = 885194956800. Its totient is φ = 42268262400.

The previous prime is 202536542867. The next prime is 202536542911. The reversal of 202536542880 is 88245635202.

202536542880 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 365 + 4 + 288 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1546080415 + ... + 1546080545.

It is an arithmetic number, because the mean of its divisors is an integer number (576298800).

Almost surely, 2^202536542880 is an apocalyptic number.

202536542880 is a gapful number since it is divisible by the number (20) 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 202536542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442597478400).

202536542880 is an abundant number, since it is smaller than the sum of its proper divisors (682658413920).

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

202536542880 is a wasteful number, since it uses less digits than its factorization.

202536542880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 202536542880 in words is "two hundred two billion, five hundred thirty-six million, five hundred forty-two thousand, eight hundred eighty".