55406346679296 has 528 divisors, whose sum is σ = 181622069596800. Its totient is φ = 16626552864768.

The previous prime is 55406346679283. The next prime is 55406346679349. The reversal of 55406346679296 is 69297664360455.

55406346679296 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 6 + 3 + 466 + 79 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 248527045 + ... + 248749883.

Almost surely, 2^{55406346679296} 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 55406346679296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90811034798400).

55406346679296 is an abundant number, since it is smaller than the sum of its proper divisors (126215722917504).

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

55406346679296 is a wasteful number, since it uses less digits than its factorization.

55406346679296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222931 (or 222884 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 72.

The spelling of 55406346679296 in words is "fifty-five trillion, four hundred six billion, three hundred forty-six million, six hundred seventy-nine thousand, two hundred ninety-six".