55114938000 has 320 divisors, whose sum is σ = 198028396800. Its totient is φ = 14653094400.

The previous prime is 55114937981. The next prime is 55114938013. The reversal of 55114938000 is 83941155.

55114938000 is a `hidden beast` number, since 551 + 14 + 93 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20464654 + ... + 20467346.

It is an arithmetic number, because the mean of its divisors is an integer number (618838740).

Almost surely, 2^55114938000 is an apocalyptic number.

55114938000 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 55114938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99014198400).

55114938000 is an abundant number, since it is smaller than the sum of its proper divisors (142913458800).

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

55114938000 is a wasteful number, since it uses less digits than its factorization.

55114938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 55114938000 in words is "fifty-five billion, one hundred fourteen million, nine hundred thirty-eight thousand".