55965270816 has 576 divisors, whose sum is σ = 207965439360. Its totient is φ = 14509393920.

The previous prime is 55965270791. The next prime is 55965270817. The reversal of 55965270816 is 61807256955.

55965270816 is a `hidden beast` number, since 559 + 6 + 5 + 2 + 7 + 0 + 81 + 6 = 666.

It is a super-2 number, since 2×55965270816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55965270817) 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, 33571615 + ... + 33573281.

It is an arithmetic number, because the mean of its divisors is an integer number (361051110).

Almost surely, 2^55965270816 is an apocalyptic number.

55965270816 is a gapful number since it is divisible by the number (56) 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 55965270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103982719680).

55965270816 is an abundant number, since it is smaller than the sum of its proper divisors (152000168544).

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

55965270816 is a wasteful number, since it uses less digits than its factorization.

55965270816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 55965270816 in words is "fifty-five billion, nine hundred sixty-five million, two hundred seventy thousand, eight hundred sixteen".