55820061158400 has 2376 divisors, whose sum is σ = 264669371576064. Its totient is φ = 11094102835200.

The previous prime is 55820061158399. The next prime is 55820061158413. The reversal of 55820061158400 is 485116002855.

55820061158400 is a `hidden beast` number, since 5 + 5 + 8 + 2 + 0 + 0 + 61 + 1 + 584 + 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 215 ways as a sum of consecutive naturals, for example, 2856259029 + ... + 2856278571.

Almost surely, 2^{55820061158400} is an apocalyptic number.

55820061158400 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 55820061158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132334685788032).

55820061158400 is an abundant number, since it is smaller than the sum of its proper divisors (208849310417664).

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

55820061158400 is a wasteful number, since it uses less digits than its factorization.

55820061158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19627 (or 19594 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 55820061158400 in words is "fifty-five trillion, eight hundred twenty billion, sixty-one million, one hundred fifty-eight thousand, four hundred".