51159060000 has 480 divisors, whose sum is σ = 187758648000. Its totient is φ = 13547520000.

The previous prime is 51159059971. The next prime is 51159060019. The reversal of 51159060000 is 6095115.

51159060000 is a `hidden beast` number, since 5 + 1 + 1 + 59 + 0 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113939776 + ... + 113940224.

It is an arithmetic number, because the mean of its divisors is an integer number (391163850).

Almost surely, 2^51159060000 is an apocalyptic number.

51159060000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51159060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93879324000).

51159060000 is an abundant number, since it is smaller than the sum of its proper divisors (136599588000).

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

51159060000 is a wasteful number, since it uses less digits than its factorization.

51159060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 51159060000 in words is "fifty-one billion, one hundred fifty-nine million, sixty thousand".