55977556543272 has 512 divisors, whose sum is σ = 205559961600000. Its totient is φ = 13986290642688.

The previous prime is 55977556543247. The next prime is 55977556543289. The reversal of 55977556543272 is 27234565577955.

55977556543272 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 7 + 5 + 5 + 6 + 543 + 2 + 72 = 666.

55977556543272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55977556543272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16770273 + ... + 19829199.

It is an arithmetic number, because the mean of its divisors is an integer number (401484300000).

Almost surely, 2^{55977556543272} is an apocalyptic number.

55977556543272 is a gapful number since it is divisible by the number (52) 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 55977556543272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102779980800000).

55977556543272 is an abundant number, since it is smaller than the sum of its proper divisors (149582405056728).

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

55977556543272 is a wasteful number, since it uses less digits than its factorization.

55977556543272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058995 (or 3058971 counting only the distinct ones).

The product of its digits is 2778300000, while the sum is 72.

The spelling of 55977556543272 in words is "fifty-five trillion, nine hundred seventy-seven billion, five hundred fifty-six million, five hundred forty-three thousand, two hundred seventy-two".