51140776960 has 704 divisors, whose sum is σ = 163419379200. Its totient is φ = 14906032128.

The previous prime is 51140776901. The next prime is 51140776987. The reversal of 51140776960 is 6967704115.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51140776960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469181386 + ... + 469181494.

It is an arithmetic number, because the mean of its divisors is an integer number (232129800).

Almost surely, 2^51140776960 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 51140776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81709689600).

51140776960 is an abundant number, since it is smaller than the sum of its proper divisors (112278602240).

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

51140776960 is a wasteful number, since it uses less digits than its factorization.

51140776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

It can be divided in two parts, 51140 and 776960, that added together give a square (828100 = 910²).

The spelling of 51140776960 in words is "fifty-one billion, one hundred forty million, seven hundred seventy-six thousand, nine hundred sixty".