5455193702400 has 2592 divisors, whose sum is σ = 23853486279168. Its totient is φ = 1223059046400.

The previous prime is 5455193702363. The next prime is 5455193702411. The reversal of 5455193702400 is 42073915545.

5455193702400 is a `hidden beast` number, since 5 + 4 + 55 + 193 + 7 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175973990385 + ... + 175973990415.

It is an arithmetic number, because the mean of its divisors is an integer number (9202733904).

Almost surely, 2^{5455193702400} is an apocalyptic number.

5455193702400 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 5455193702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926743139584).

5455193702400 is an abundant number, since it is smaller than the sum of its proper divisors (18398292576768).

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

5455193702400 is an equidigital number, since it uses as much as digits as its factorization.

5455193702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5455193702400 in words is "five trillion, four hundred fifty-five billion, one hundred ninety-three million, seven hundred two thousand, four hundred".