55978813134720 has 4096 divisors, whose sum is σ = 256685137920000. Its totient is φ = 11238001606656.

The previous prime is 55978813134703. The next prime is 55978813134731. The reversal of 55978813134720 is 2743131887955.

It is a happy number.

55978813134720 is a `hidden beast` number, since 5 + 5 + 9 + 78 + 81 + 3 + 13 + 472 + 0 = 666.

55978813134720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 343428301359 + ... + 343428301521.

It is an arithmetic number, because the mean of its divisors is an integer number (62667270000).

Almost surely, 2^{55978813134720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55978813134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128342568960000).

55978813134720 is an abundant number, since it is smaller than the sum of its proper divisors (200706324785280).

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

55978813134720 is a wasteful number, since it uses less digits than its factorization.

55978813134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 55978813134720 in words is "fifty-five trillion, nine hundred seventy-eight billion, eight hundred thirteen million, one hundred thirty-four thousand, seven hundred twenty".