55838458777320 has 768 divisors, whose sum is σ = 192054907699200. Its totient is φ = 14051052288000.

The previous prime is 55838458777271. The next prime is 55838458777477. The reversal of 55838458777320 is 2377785483855.

55838458777320 is a `hidden beast` number, since 5 + 5 + 8 + 3 + 8 + 4 + 587 + 7 + 7 + 32 + 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 191 ways as a sum of consecutive naturals, for example, 61293587665 + ... + 61293588575.

It is an arithmetic number, because the mean of its divisors is an integer number (250071494400).

Almost surely, 2^{55838458777320} 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 55838458777320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96027453849600).

55838458777320 is an abundant number, since it is smaller than the sum of its proper divisors (136216448921880).

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

55838458777320 is a wasteful number, since it uses less digits than its factorization.

55838458777320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 1580544000, while the sum is 72.

The spelling of 55838458777320 in words is "fifty-five trillion, eight hundred thirty-eight billion, four hundred fifty-eight million, seven hundred seventy-seven thousand, three hundred twenty".