55345400064 has 126 divisors (see below), whose sum is σ = 165636697926. Its totient is φ = 18448404480.

The previous prime is 55345400053. The next prime is 55345400113. The reversal of 55345400064 is 46000454355.

55345400064 is a `hidden beast` number, since 5 + 53 + 4 + 540 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55228760064 + 116640000 = 235008^2 + 10800^2 .

It is a super-2 number, since 2×55345400064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 38344 + ... + 334904.

Almost surely, 2^55345400064 is an apocalyptic number.

55345400064 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 55345400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82818348963).

55345400064 is an abundant number, since it is smaller than the sum of its proper divisors (110291297862).

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

55345400064 is an frugal number, since it uses more digits than its factorization.

55345400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296595 (or 296566 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 55345400064 in words is "fifty-five billion, three hundred forty-five million, four hundred thousand, sixty-four".