553890778560 has 1344 divisors, whose sum is σ = 2427524736000. Its totient is φ = 119830523904.

The previous prime is 553890778559. The next prime is 553890778603. The reversal of 553890778560 is 65877098355.

553890778560 is a `hidden beast` number, since 5 + 538 + 90 + 7 + 7 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 506761374 + ... + 506762466.

It is an arithmetic number, because the mean of its divisors is an integer number (1806194000).

Almost surely, 2^553890778560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553890778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213762368000).

553890778560 is an abundant number, since it is smaller than the sum of its proper divisors (1873633957440).

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

553890778560 is a wasteful number, since it uses less digits than its factorization.

553890778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 553890778560 in words is "five hundred fifty-three billion, eight hundred ninety million, seven hundred seventy-eight thousand, five hundred sixty".