51019501272480 has 1152 divisors, whose sum is σ = 203523268515840. Its totient is φ = 11975423201280.

The previous prime is 51019501272469. The next prime is 51019501272511. The reversal of 51019501272480 is 8427210591015.

51019501272480 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 95 + 0 + 12 + 72 + 480 = 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 (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3847908091 + ... + 3847921349.

It is an arithmetic number, because the mean of its divisors is an integer number (176669503920).

Almost surely, 2^{51019501272480} 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 51019501272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101761634257920).

51019501272480 is an abundant number, since it is smaller than the sum of its proper divisors (152503767243360).

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

51019501272480 is a wasteful number, since it uses less digits than its factorization.

51019501272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13656 (or 13636 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 51019501272480 in words is "fifty-one trillion, nineteen billion, five hundred one million, two hundred seventy-two thousand, four hundred eighty".