553930997760 has 1440 divisors, whose sum is σ = 2420563824000. Its totient is φ = 119503060992.

The previous prime is 553930997759. The next prime is 553930997773. The reversal of 553930997760 is 67799039355.

553930997760 is a `hidden beast` number, since 5 + 539 + 3 + 0 + 9 + 97 + 7 + 6 + 0 = 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2059222906 + ... + 2059223174.

It is an arithmetic number, because the mean of its divisors is an integer number (1680947100).

Almost surely, 2^553930997760 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 553930997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210281912000).

553930997760 is an abundant number, since it is smaller than the sum of its proper divisors (1866632826240).

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

553930997760 is a wasteful number, since it uses less digits than its factorization.

553930997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 48223350, while the sum is 63.

The spelling of 553930997760 in words is "five hundred fifty-three billion, nine hundred thirty million, nine hundred ninety-seven thousand, seven hundred sixty".