553040680008960 has 1440 divisors, whose sum is σ = 2328796341704448. Its totient is φ = 123546693795840.

The previous prime is 553040680008941. The next prime is 553040680008961. The reversal of 553040680008960 is 69800086040355.

It is a happy number.

553040680008960 is a `hidden beast` number, since 5 + 530 + 40 + 6 + 8 + 0 + 0 + 0 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 553040680008897 and 553040680008906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553040680008961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8791928869 + ... + 8791991771.

Almost surely, 2^{553040680008960} 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 553040680008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164398170852224).

553040680008960 is an abundant number, since it is smaller than the sum of its proper divisors (1775755661695488).

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

553040680008960 is a wasteful number, since it uses less digits than its factorization.

553040680008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63553 (or 63530 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 553040680008960 in words is "five hundred fifty-three trillion, forty billion, six hundred eighty million, eight thousand, nine hundred sixty".