5174545226400 has 2592 divisors, whose sum is σ = 22417593307200. Its totient is φ = 1152888422400.

The previous prime is 5174545226399. The next prime is 5174545226527. The reversal of 5174545226400 is 46225454715.

5174545226400 is a `hidden beast` number, since 5 + 1 + 74 + 54 + 522 + 6 + 4 + 0 + 0 = 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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 58140957556 + ... + 58140957644.

It is an arithmetic number, because the mean of its divisors is an integer number (8648762850).

Almost surely, 2^{5174545226400} is an apocalyptic number.

5174545226400 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 5174545226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208796653600).

5174545226400 is an abundant number, since it is smaller than the sum of its proper divisors (17243048080800).

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

5174545226400 is a wasteful number, since it uses less digits than its factorization.

5174545226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 5174545226400 in words is "five trillion, one hundred seventy-four billion, five hundred forty-five million, two hundred twenty-six thousand, four hundred".