55161711458304 has 384 divisors, whose sum is σ = 164776480727040. Its totient is φ = 16265078374400.

The previous prime is 55161711458299. The next prime is 55161711458387. The reversal of 55161711458304 is 40385411716155.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×55161711458304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061245564 + ... + 1061297540.

It is an arithmetic number, because the mean of its divisors is an integer number (429105418560).

Almost surely, 2^{55161711458304} 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 55161711458304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82388240363520).

55161711458304 is an abundant number, since it is smaller than the sum of its proper divisors (109614769268736).

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

55161711458304 is a wasteful number, since it uses less digits than its factorization.

55161711458304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52437 (or 52417 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 55161711458304 in words is "fifty-five trillion, one hundred sixty-one billion, seven hundred eleven million, four hundred fifty-eight thousand, three hundred four".