55164906720 has 864 divisors, whose sum is σ = 244275333120. Its totient is φ = 11085465600.

The previous prime is 55164906703. The next prime is 55164906737. The reversal of 55164906720 is 2760946155.

55164906720 is a `hidden beast` number, since 551 + 6 + 4 + 90 + 6 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55164906703) and next prime (55164906737).

It is a super-3 number, since 3×55164906720³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37809351 + ... + 37810809.

It is an arithmetic number, because the mean of its divisors is an integer number (282726080).

Almost surely, 2^55164906720 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 55164906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122137666560).

55164906720 is an abundant number, since it is smaller than the sum of its proper divisors (189110426400).

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

55164906720 is a wasteful number, since it uses less digits than its factorization.

55164906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 55164906720 in words is "fifty-five billion, one hundred sixty-four million, nine hundred six thousand, seven hundred twenty".