55540346400 has 1728 divisors, whose sum is σ = 265339017216. Its totient is φ = 10579968000.

The previous prime is 55540346369. The next prime is 55540346401. The reversal of 55540346400 is 464304555.

55540346400 is a `hidden beast` number, since 5 + 5 + 5 + 4 + 0 + 3 + 4 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55540346401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 669160759 + ... + 669160841.

It is an arithmetic number, because the mean of its divisors is an integer number (153552672).

Almost surely, 2^55540346400 is an apocalyptic number.

55540346400 is a gapful number since it is divisible by the number (50) 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 55540346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132669508608).

55540346400 is an abundant number, since it is smaller than the sum of its proper divisors (209798670816).

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

55540346400 is a wasteful number, since it uses less digits than its factorization.

55540346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

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

The spelling of 55540346400 in words is "fifty-five billion, five hundred forty million, three hundred forty-six thousand, four hundred".