202561456320 has 784 divisors, whose sum is σ = 794754051840. Its totient is φ = 48923854848.

The previous prime is 202561456313. The next prime is 202561456327. The reversal of 202561456320 is 23654165202.

202561456320 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 6 + 14 + 5 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (202561456313) and next prime (202561456327).

It is a super-2 number, since 2×202561456320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (202561456327) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101942367 + ... + 101944353.

Almost surely, 2^202561456320 is an apocalyptic number.

202561456320 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 202561456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397377025920).

202561456320 is an abundant number, since it is smaller than the sum of its proper divisors (592192595520).

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

202561456320 is a wasteful number, since it uses less digits than its factorization.

202561456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 202561456320 in words is "two hundred two billion, five hundred sixty-one million, four hundred fifty-six thousand, three hundred twenty".