55081958400 has 1584 divisors, whose sum is σ = 249462158400. Its totient is φ = 11560550400.

The previous prime is 55081958369. The next prime is 55081958413. The reversal of 55081958400 is 485918055.

It is a happy number.

55081958400 is a `hidden beast` number, since 5 + 50 + 8 + 19 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1343462380 + ... + 1343462420.

Almost surely, 2^55081958400 is an apocalyptic number.

55081958400 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 55081958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124731079200).

55081958400 is an abundant number, since it is smaller than the sum of its proper divisors (194380200000).

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

55081958400 is a wasteful number, since it uses less digits than its factorization.

55081958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 55081958400 in words is "fifty-five billion, eighty-one million, nine hundred fifty-eight thousand, four hundred".