55845954165120 has 1024 divisors, whose sum is σ = 220167827619840. Its totient is φ = 11751010467840.

The previous prime is 55845954165107. The next prime is 55845954165227. The reversal of 55845954165120 is 2156145954855.

It is a super-2 number, since 2×55845954165120² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2060190607 + ... + 2060217713.

It is an arithmetic number, because the mean of its divisors is an integer number (215007644160).

Almost surely, 2^{55845954165120} 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 55845954165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110083913809920).

55845954165120 is an abundant number, since it is smaller than the sum of its proper divisors (164321873454720).

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

55845954165120 is a wasteful number, since it uses less digits than its factorization.

55845954165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27351 (or 27339 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 60.

The spelling of 55845954165120 in words is "fifty-five trillion, eight hundred forty-five billion, nine hundred fifty-four million, one hundred sixty-five thousand, one hundred twenty".