2655415904400 has 600 divisors, whose sum is σ = 11054136984000. Its totient is φ = 597889797120.

The previous prime is 2655415904377. The next prime is 2655415904431. The reversal of 2655415904400 is 44095145562.

2655415904400 is a `hidden beast` number, since 2 + 6 + 5 + 54 + 1 + 590 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15108226 + ... + 15282974.

It is an arithmetic number, because the mean of its divisors is an integer number (18423561640).

Almost surely, 2^{2655415904400} is an apocalyptic number.

2655415904400 is a gapful number since it is divisible by the number (20) 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 2655415904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527068492000).

2655415904400 is an abundant number, since it is smaller than the sum of its proper divisors (8398721079600).

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

2655415904400 is a wasteful number, since it uses less digits than its factorization.

2655415904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174853 (or 174833 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2655415904400 in words is "two trillion, six hundred fifty-five billion, four hundred fifteen million, nine hundred four thousand, four hundred".