51082083152640 has 432 divisors, whose sum is σ = 178853910580800. Its totient is φ = 13459453378560.

The previous prime is 51082083152621. The next prime is 51082083152641. The reversal of 51082083152640 is 4625138028015.

51082083152640 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 2 + 0 + 83 + 1 + 526 + 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 (51082083152641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532717500 + ... + 532813380.

It is an arithmetic number, because the mean of its divisors is an integer number (414013681900).

Almost surely, 2^{51082083152640} 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 51082083152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89426955290400).

51082083152640 is an abundant number, since it is smaller than the sum of its proper divisors (127771827428160).

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

51082083152640 is a wasteful number, since it uses less digits than its factorization.

51082083152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96460 (or 96443 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 51082083152640 in words is "fifty-one trillion, eighty-two billion, eighty-three million, one hundred fifty-two thousand, six hundred forty".