55251177262560 has 72 divisors (see below), whose sum is σ = 188544642413400. Its totient is φ = 14733647269632.

The previous prime is 55251177262507. The next prime is 55251177262613. The reversal of 55251177262560 is 6526277115255.

55251177262560 is a `hidden beast` number, since 5 + 5 + 2 + 5 + 1 + 1 + 7 + 7 + 2 + 625 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55251177262507) and next prime (55251177262613).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 55251177262497 and 55251177262506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19184435110 + ... + 19184437989.

It is an arithmetic number, because the mean of its divisors is an integer number (2618675589075).

Almost surely, 2^{55251177262560} is an apocalyptic number.

It is an amenable number.

55251177262560 is an abundant number, since it is smaller than the sum of its proper divisors (133293465150840).

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

55251177262560 is a wasteful number, since it uses less digits than its factorization.

55251177262560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38368873120 (or 38368873109 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 55251177262560 in words is "fifty-five trillion, two hundred fifty-one billion, one hundred seventy-seven million, two hundred sixty-two thousand, five hundred sixty".