55581779756160 has 3072 divisors, whose sum is σ = 240749832960000. Its totient is φ = 11787773018112.

The previous prime is 55581779756039. The next prime is 55581779756273. The reversal of 55581779756160 is 6165797718555.

55581779756160 is a `hidden beast` number, since 5 + 5 + 58 + 1 + 7 + 7 + 9 + 7 + 561 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 332825028397 + ... + 332825028563.

It is an arithmetic number, because the mean of its divisors is an integer number (78369086250).

Almost surely, 2^{55581779756160} 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 55581779756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120374916480000).

55581779756160 is an abundant number, since it is smaller than the sum of its proper divisors (185168053203840).

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

55581779756160 is a wasteful number, since it uses less digits than its factorization.

55581779756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 555660000, while the sum is 72.

The spelling of 55581779756160 in words is "fifty-five trillion, five hundred eighty-one billion, seven hundred seventy-nine million, seven hundred fifty-six thousand, one hundred sixty".