5259880454400 has 2592 divisors, whose sum is σ = 23492927884160. Its totient is φ = 1143034675200.

The previous prime is 5259880454399. The next prime is 5259880454417. The reversal of 5259880454400 is 44540889525.

5259880454400 is a `hidden beast` number, since 5 + 2 + 5 + 98 + 8 + 0 + 4 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10057132539 + ... + 10057133061.

Almost surely, 2^{5259880454400} is an apocalyptic number.

5259880454400 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 5259880454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746463942080).

5259880454400 is an abundant number, since it is smaller than the sum of its proper divisors (18233047429760).

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

5259880454400 is a wasteful number, since it uses less digits than its factorization.

5259880454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 5259880454400 in words is "five trillion, two hundred fifty-nine billion, eight hundred eighty million, four hundred fifty-four thousand, four hundred".