55834553698560 has 2304 divisors, whose sum is σ = 261411198289920. Its totient is φ = 11086648049664.

The previous prime is 55834553698529. The next prime is 55834553698579. The reversal of 55834553698560 is 6589635543855.

It is a happy number.

55834553698560 is a `hidden beast` number, since 5 + 5 + 8 + 3 + 4 + 5 + 53 + 6 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4330603474 + ... + 4330616366.

It is an arithmetic number, because the mean of its divisors is an integer number (113459721480).

Almost surely, 2^{55834553698560} 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 55834553698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130705599144960).

55834553698560 is an abundant number, since it is smaller than the sum of its proper divisors (205576644591360).

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

55834553698560 is a wasteful number, since it uses less digits than its factorization.

55834553698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 2332800000, while the sum is 72.

The spelling of 55834553698560 in words is "fifty-five trillion, eight hundred thirty-four billion, five hundred fifty-three million, six hundred ninety-eight thousand, five hundred sixty".