553955584000 has 1152 divisors, whose sum is σ = 1794419827200. Its totient is φ = 169073049600.

The previous prime is 553955583983. The next prime is 553955584001. The reversal of 553955584000 is 485559355.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553955584001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7012095961 + ... + 7012096039.

It is an arithmetic number, because the mean of its divisors is an integer number (1557656100).

Almost surely, 2^553955584000 is an apocalyptic number.

553955584000 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 553955584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897209913600).

553955584000 is an abundant number, since it is smaller than the sum of its proper divisors (1240464243200).

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

553955584000 is a wasteful number, since it uses less digits than its factorization.

553955584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 49.

The spelling of 553955584000 in words is "five hundred fifty-three billion, nine hundred fifty-five million, five hundred eighty-four thousand".