51145146813600 has 3456 divisors, whose sum is σ = 228213393408000. Its totient is φ = 11160040550400.

The previous prime is 51145146813581. The next prime is 51145146813613. The reversal of 51145146813600 is 631864154115.

51145146813600 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 51 + 468 + 136 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 225309016687 + ... + 225309016913.

It is an arithmetic number, because the mean of its divisors is an integer number (66033968000).

Almost surely, 2^{51145146813600} is an apocalyptic number.

51145146813600 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 51145146813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114106696704000).

51145146813600 is an abundant number, since it is smaller than the sum of its proper divisors (177068246594400).

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

51145146813600 is a wasteful number, since it uses less digits than its factorization.

51145146813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 51145146813600 in words is "fifty-one trillion, one hundred forty-five billion, one hundred forty-six million, eight hundred thirteen thousand, six hundred".