55997701467264 has 320 divisors, whose sum is σ = 167618781380160. Its totient is φ = 18557335996416.

The previous prime is 55997701467263. The next prime is 55997701467341. The reversal of 55997701467264 is 46276410779955.

55997701467264 is a `hidden beast` number, since 5 + 5 + 9 + 97 + 70 + 1 + 467 + 2 + 6 + 4 = 666.

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 = 55997701467192 and 55997701467201.

It is not an unprimeable number, because it can be changed into a prime (55997701467263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2955482239 + ... + 2955501185.

It is an arithmetic number, because the mean of its divisors is an integer number (523808691813).

Almost surely, 2^{55997701467264} is an apocalyptic number.

55997701467264 is a gapful number since it is divisible by the number (54) 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 55997701467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83809390690080).

55997701467264 is an abundant number, since it is smaller than the sum of its proper divisors (111621079912896).

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

55997701467264 is a wasteful number, since it uses less digits than its factorization.

55997701467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20617 (or 20596 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 55997701467264 in words is "fifty-five trillion, nine hundred ninety-seven billion, seven hundred one million, four hundred sixty-seven thousand, two hundred sixty-four".