55619721360000 has 2560 divisors, whose sum is σ = 244476942336000. Its totient is φ = 12177008640000.

The previous prime is 55619721359987. The next prime is 55619721360139. The reversal of 55619721360000 is 6312791655.

55619721360000 is a `hidden beast` number, since 5 + 5 + 6 + 19 + 7 + 21 + 3 + 600 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 50153039446 + ... + 50153040554.

It is an arithmetic number, because the mean of its divisors is an integer number (95498805600).

Almost surely, 2^{55619721360000} is an apocalyptic number.

55619721360000 is a gapful number since it is divisible by the number (50) 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 55619721360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122238471168000).

55619721360000 is an abundant number, since it is smaller than the sum of its proper divisors (188857220976000).

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

55619721360000 is a wasteful number, since it uses less digits than its factorization.

55619721360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 55619721360000 in words is "fifty-five trillion, six hundred nineteen billion, seven hundred twenty-one million, three hundred sixty thousand".