55614357600 has 288 divisors, whose sum is σ = 192227696640. Its totient is φ = 13917757440.

The previous prime is 55614357599. The next prime is 55614357649. The reversal of 55614357600 is 675341655.

55614357600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15624621 + ... + 15628179.

It is an arithmetic number, because the mean of its divisors is an integer number (667457280).

Almost surely, 2^55614357600 is an apocalyptic number.

55614357600 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 55614357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96113848320).

55614357600 is an abundant number, since it is smaller than the sum of its proper divisors (136613339040).

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

55614357600 is a wasteful number, since it uses less digits than its factorization.

55614357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 55614357600 in words is "fifty-five billion, six hundred fourteen million, three hundred fifty-seven thousand, six hundred".