51741432756 has 288 divisors, whose sum is σ = 149700096000. Its totient is φ = 15045488640.

The previous prime is 51741432671. The next prime is 51741432761. The reversal of 51741432756 is 65723414715.

51741432756 is a `hidden beast` number, since 517 + 41 + 43 + 2 + 7 + 56 = 666.

Its product of digits (705600) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115236820 + ... + 115237268.

It is an arithmetic number, because the mean of its divisors is an integer number (519792000).

Almost surely, 2^51741432756 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 51741432756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048000).

51741432756 is an abundant number, since it is smaller than the sum of its proper divisors (97958663244).

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

51741432756 is a wasteful number, since it uses less digits than its factorization.

51741432756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 545 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 51741432756 in words is "fifty-one billion, seven hundred forty-one million, four hundred thirty-two thousand, seven hundred fifty-six".