561294854400 has 864 divisors, whose sum is σ = 2228072894208. Its totient is φ = 121739673600.

The previous prime is 561294854389. The next prime is 561294854411. The reversal of 561294854400 is 4458492165.

It is an interprime number because it is at equal distance from previous prime (561294854389) and next prime (561294854411).

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

It is a self number, because there is not a number n which added to its sum of digits gives 561294854400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203883424 + ... + 203886176.

It is an arithmetic number, because the mean of its divisors is an integer number (2578788072).

Almost surely, 2^561294854400 is an apocalyptic number.

561294854400 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 561294854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114036447104).

561294854400 is an abundant number, since it is smaller than the sum of its proper divisors (1666778039808).

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

561294854400 is a wasteful number, since it uses less digits than its factorization.

561294854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 561294854400 in words is "five hundred sixty-one billion, two hundred ninety-four million, eight hundred fifty-four thousand, four hundred".