55665096480 has 1536 divisors, whose sum is σ = 256048128000. Its totient is φ = 10988421120.

The previous prime is 55665096457. The next prime is 55665096493. The reversal of 55665096480 is 8469056655.

55665096480 is a `hidden beast` number, since 5 + 56 + 6 + 509 + 6 + 4 + 80 = 666.

It is a super-2 number, since 2×55665096480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 400468251 + ... + 400468389.

It is an arithmetic number, because the mean of its divisors is an integer number (166698000).

Almost surely, 2^55665096480 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 55665096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024064000).

55665096480 is an abundant number, since it is smaller than the sum of its proper divisors (200383031520).

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

55665096480 is a wasteful number, since it uses less digits than its factorization.

55665096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 55665096480 in words is "fifty-five billion, six hundred sixty-five million, ninety-six thousand, four hundred eighty".