562613990400 has 2376 divisors, whose sum is σ = 2681824810560. Its totient is φ = 113135616000.

The previous prime is 562613990363. The next prime is 562613990453. The reversal of 562613990400 is 4099316265.

562613990400 is a `hidden beast` number, since 5 + 6 + 26 + 139 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a super-2 number, since 2×562613990400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18148838385 + ... + 18148838415.

Almost surely, 2^562613990400 is an apocalyptic number.

562613990400 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 562613990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340912405280).

562613990400 is an abundant number, since it is smaller than the sum of its proper divisors (2119210820160).

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

562613990400 is a wasteful number, since it uses less digits than its factorization.

562613990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 562613990400 in words is "five hundred sixty-two billion, six hundred thirteen million, nine hundred ninety thousand, four hundred".