202082991264 has 1152 divisors, whose sum is σ = 781117489152. Its totient is φ = 49877130240.

The previous prime is 202082991263. The next prime is 202082991281. The reversal of 202082991264 is 462199280202.

It is not an unprimeable number, because it can be changed into a prime (202082991263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1210077709 + ... + 1210077875.

It is an arithmetic number, because the mean of its divisors is an integer number (678053376).

Almost surely, 2^202082991264 is an apocalyptic number.

202082991264 is a gapful number since it is divisible by the number (24) 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 202082991264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390558744576).

202082991264 is an abundant number, since it is smaller than the sum of its proper divisors (579034497888).

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

202082991264 is a wasteful number, since it uses less digits than its factorization.

202082991264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 202082991264 in words is "two hundred two billion, eighty-two million, nine hundred ninety-one thousand, two hundred sixty-four".