55133398656 has 768 divisors, whose sum is σ = 201460608000. Its totient is φ = 14533281792.

The previous prime is 55133398643. The next prime is 55133398667. The reversal of 55133398656 is 65689333155.

It is a happy number.

55133398656 is a `hidden beast` number, since 5 + 513 + 33 + 98 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×55133398656² (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 95 ways as a sum of consecutive naturals, for example, 515265355 + ... + 515265461.

It is an arithmetic number, because the mean of its divisors is an integer number (262318500).

Almost surely, 2^55133398656 is an apocalyptic number.

55133398656 is a gapful number since it is divisible by the number (56) 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 55133398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100730304000).

55133398656 is an abundant number, since it is smaller than the sum of its proper divisors (146327209344).

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

55133398656 is a wasteful number, since it uses less digits than its factorization.

55133398656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 197 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 55133398656 in words is "fifty-five billion, one hundred thirty-three million, three hundred ninety-eight thousand, six hundred fifty-six".