55314688000 has 384 divisors, whose sum is σ = 162270501120. Its totient is φ = 18554880000.

The previous prime is 55314687997. The next prime is 55314688031. The reversal of 55314688000 is 88641355.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36607245 + ... + 36608755.

It is an arithmetic number, because the mean of its divisors is an integer number (422579430).

Almost surely, 2^55314688000 is an apocalyptic number.

55314688000 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 55314688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81135250560).

55314688000 is an abundant number, since it is smaller than the sum of its proper divisors (106955813120).

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

55314688000 is a wasteful number, since it uses less digits than its factorization.

55314688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

It can be divided in two parts, 553146 and 88000, that added together give a palindrome (641146).

The spelling of 55314688000 in words is "fifty-five billion, three hundred fourteen million, six hundred eighty-eight thousand".