51310555150400 has 672 divisors, whose sum is σ = 160536859650048. Its totient is φ = 15702161817600.

The previous prime is 51310555150373. The next prime is 51310555150403. The reversal of 51310555150400 is 405155501315.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (51310555150403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6467984834 + ... + 6467992766.

It is an arithmetic number, because the mean of its divisors is an integer number (238894136384).

Almost surely, 2^{51310555150400} is an apocalyptic number.

51310555150400 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 51310555150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80268429825024).

51310555150400 is an abundant number, since it is smaller than the sum of its proper divisors (109226304499648).

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

51310555150400 is a wasteful number, since it uses less digits than its factorization.

51310555150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9439 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 35.

The spelling of 51310555150400 in words is "fifty-one trillion, three hundred ten billion, five hundred fifty-five million, one hundred fifty thousand, four hundred".