51082290662400 has 528 divisors, whose sum is σ = 198623141189280. Its totient is φ = 12820650393600.

The previous prime is 51082290662369. The next prime is 51082290662411. The reversal of 51082290662400 is 426609228015.

51082290662400 is a `hidden beast` number, since 5 + 10 + 8 + 2 + 2 + 9 + 0 + 6 + 624 + 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 47 ways as a sum of consecutive naturals, for example, 9576760 + ... + 13924040.

Almost surely, 2^{51082290662400} is an apocalyptic number.

51082290662400 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 51082290662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99311570594640).

51082290662400 is an abundant number, since it is smaller than the sum of its proper divisors (147540850526880).

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

51082290662400 is a wasteful number, since it uses less digits than its factorization.

51082290662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347337 (or 4347308 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 51082290662400 in words is "fifty-one trillion, eighty-two billion, two hundred ninety million, six hundred sixty-two thousand, four hundred".