51594240000 has 280 divisors, whose sum is σ = 171966453120. Its totient is φ = 13754368000.

The previous prime is 51594239897. The next prime is 51594240007. The reversal of 51594240000 is 4249515.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 51594240000.

It is not an unprimeable number, because it can be changed into a prime (51594240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15358321 + ... + 15361679.

It is an arithmetic number, because the mean of its divisors is an integer number (614165904).

Almost surely, 2^51594240000 is an apocalyptic number.

51594240000 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 51594240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85983226560).

51594240000 is an abundant number, since it is smaller than the sum of its proper divisors (120372213120).

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

51594240000 is an frugal number, since it uses more digits than its factorization.

51594240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 51594240000 its reverse (4249515), we get a palindrome (51598489515).

The spelling of 51594240000 in words is "fifty-one billion, five hundred ninety-four million, two hundred forty thousand".