51057127782 has 96 divisors (see below), whose sum is σ = 115127291136. Its totient is φ = 16335820800.

The previous prime is 51057127741. The next prime is 51057127831. The reversal of 51057127782 is 28772175015.

51057127782 is a `hidden beast` number, since 5 + 1 + 0 + 571 + 2 + 7 + 78 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42091008 + ... + 42092220.

It is an arithmetic number, because the mean of its divisors is an integer number (1199242616).

Almost surely, 2^51057127782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51057127782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57563645568).

51057127782 is an abundant number, since it is smaller than the sum of its proper divisors (64070163354).

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

51057127782 is a wasteful number, since it uses less digits than its factorization.

51057127782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 51057127782 in words is "fifty-one billion, fifty-seven million, one hundred twenty-seven thousand, seven hundred eighty-two".