51452640300 has 576 divisors, whose sum is σ = 173268910080. Its totient is φ = 11705057280.

The previous prime is 51452640293. The next prime is 51452640301. The reversal of 51452640300 is 304625415.

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

It is not an unprimeable number, because it can be changed into a prime (51452640301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 405138837 + ... + 405138963.

It is an arithmetic number, because the mean of its divisors is an integer number (300814080).

Almost surely, 2^51452640300 is an apocalyptic number.

51452640300 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 51452640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86634455040).

51452640300 is an abundant number, since it is smaller than the sum of its proper divisors (121816269780).

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

51452640300 is a wasteful number, since it uses less digits than its factorization.

51452640300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 51452640300 in words is "fifty-one billion, four hundred fifty-two million, six hundred forty thousand, three hundred".