55238694396480 has 1120 divisors, whose sum is σ = 226356954464256. Its totient is φ = 12525608669184.

The previous prime is 55238694396461. The next prime is 55238694396491. The reversal of 55238694396480 is 8469349683255.

55238694396480 is a `hidden beast` number, since 5 + 5 + 23 + 8 + 6 + 94 + 39 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 55238694396399 and 55238694396408.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12421561617 + ... + 12421566063.

Almost surely, 2^{55238694396480} 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 55238694396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113178477232128).

55238694396480 is an abundant number, since it is smaller than the sum of its proper divisors (171118260067776).

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

55238694396480 is a wasteful number, since it uses less digits than its factorization.

55238694396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 55238694396480 in words is "fifty-five trillion, two hundred thirty-eight billion, six hundred ninety-four million, three hundred ninety-six thousand, four hundred eighty".