51259454400 has 672 divisors, whose sum is σ = 210806507520. Its totient is φ = 10593792000.

The previous prime is 51259454359. The next prime is 51259454419. The reversal of 51259454400 is 445495215.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122337391 + ... + 122337809.

It is an arithmetic number, because the mean of its divisors is an integer number (313700160).

Almost surely, 2^51259454400 is an apocalyptic number.

51259454400 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 51259454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105403253760).

51259454400 is an abundant number, since it is smaller than the sum of its proper divisors (159547053120).

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

51259454400 is a wasteful number, since it uses less digits than its factorization.

51259454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 51259454400 in words is "fifty-one billion, two hundred fifty-nine million, four hundred fifty-four thousand, four hundred".