51070199207040 has 1024 divisors, whose sum is σ = 206358621235200. Its totient is φ = 11825133649920.

The previous prime is 51070199207029. The next prime is 51070199207059. The reversal of 51070199207040 is 4070299107015.

51070199207040 is a `hidden beast` number, since 510 + 7 + 0 + 1 + 9 + 9 + 20 + 70 + 40 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12422814585 + ... + 12422818695.

It is an arithmetic number, because the mean of its divisors is an integer number (201522091050).

Almost surely, 2^{51070199207040} 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 51070199207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103179310617600).

51070199207040 is an abundant number, since it is smaller than the sum of its proper divisors (155288422028160).

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

51070199207040 is a wasteful number, since it uses less digits than its factorization.

51070199207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 51070199207040 in words is "fifty-one trillion, seventy billion, one hundred ninety-nine million, two hundred seven thousand, forty".