553920630144000 has 4224 divisors, whose sum is σ = 2351467245404160. Its totient is φ = 114960384000000.

The previous prime is 553920630143953. The next prime is 553920630144017. The reversal of 553920630144000 is 441036029355.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1673476223835 + ... + 1673476224165.

Almost surely, 2^{553920630144000} is an apocalyptic number.

553920630144000 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 553920630144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175733622702080).

553920630144000 is an abundant number, since it is smaller than the sum of its proper divisors (1797546615260160).

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

553920630144000 is a wasteful number, since it uses less digits than its factorization.

553920630144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 553920630144000 in words is "five hundred fifty-three trillion, nine hundred twenty billion, six hundred thirty million, one hundred forty-four thousand".