51259095090 has 192 divisors, whose sum is σ = 160513516800. Its totient is φ = 11086958592.

The previous prime is 51259095073. The next prime is 51259095091. The reversal of 51259095090 is 9059095215.

51259095090 is a `hidden beast` number, since 5 + 1 + 2 + 590 + 9 + 50 + 9 + 0 = 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 (51259095091) 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, 13512234 + ... + 13516026.

It is an arithmetic number, because the mean of its divisors is an integer number (836007900).

Almost surely, 2^51259095090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51259095090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80256758400).

51259095090 is an abundant number, since it is smaller than the sum of its proper divisors (109254421710).

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

51259095090 is a wasteful number, since it uses less digits than its factorization.

51259095090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The spelling of 51259095090 in words is "fifty-one billion, two hundred fifty-nine million, ninety-five thousand, ninety".