55768121293248 has 3528 divisors, whose sum is σ = 225183246376320. Its totient is φ = 13609323786240.

The previous prime is 55768121293231. The next prime is 55768121293303. The reversal of 55768121293248 is 84239212186755.

It is a happy number.

55768121293248 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 81 + 21 + 293 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a super-2 number, since 2×55768121293248² (a number of 28 digits) contains 22 as substring.

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 503 ways as a sum of consecutive naturals, for example, 521197395211 + ... + 521197395317.

Almost surely, 2^{55768121293248} 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 55768121293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112591623188160).

55768121293248 is an abundant number, since it is smaller than the sum of its proper divisors (169415125083072).

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

55768121293248 is a wasteful number, since it uses less digits than its factorization.

55768121293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 222 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 55768121293248 in words is "fifty-five trillion, seven hundred sixty-eight billion, one hundred twenty-one million, two hundred ninety-three thousand, two hundred forty-eight".