51350999040 has 1248 divisors, whose sum is σ = 215896412160. Its totient is φ = 11147673600.

The previous prime is 51350999023. The next prime is 51350999041. The reversal of 51350999040 is 4099905315.

It is a happy number.

51350999040 is a `hidden beast` number, since 5 + 13 + 509 + 9 + 90 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51350999041) 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, 1194209259 + ... + 1194209301.

It is an arithmetic number, because the mean of its divisors is an integer number (172993920).

Almost surely, 2^51350999040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51350999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107948206080).

51350999040 is an abundant number, since it is smaller than the sum of its proper divisors (164545413120).

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

51350999040 is a wasteful number, since it uses less digits than its factorization.

51350999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 51350999040 in words is "fifty-one billion, three hundred fifty million, nine hundred ninety-nine thousand, forty".