51172750080 has 576 divisors, whose sum is σ = 186491289600. Its totient is φ = 13284311040.

The previous prime is 51172750067. The next prime is 51172750093. The reversal of 51172750080 is 8005727115.

51172750080 is a `hidden beast` number, since 5 + 1 + 1 + 72 + 7 + 500 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (51172750067) and next prime (51172750093).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 390631615 + ... + 390631745.

It is an arithmetic number, because the mean of its divisors is an integer number (323769600).

Almost surely, 2^51172750080 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 51172750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93245644800).

51172750080 is an abundant number, since it is smaller than the sum of its proper divisors (135318539520).

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

51172750080 is a wasteful number, since it uses less digits than its factorization.

51172750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 51172750080 in words is "fifty-one billion, one hundred seventy-two million, seven hundred fifty thousand, eighty".