51177912403860 has 576 divisors, whose sum is σ = 179004928886784. Its totient is φ = 12169754150400.

The previous prime is 51177912403859. The next prime is 51177912403889. The reversal of 51177912403860 is 6830421977115.

51177912403860 is a `hidden beast` number, since 5 + 1 + 1 + 77 + 91 + 2 + 403 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51177912403797 and 51177912403806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 747710799 + ... + 747779241.

It is an arithmetic number, because the mean of its divisors is an integer number (310772445984).

It is a 1-persistent number, because it is pandigital, but 2⋅51177912403860 = 102355824807720 is not.

Almost surely, 2^{51177912403860} 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 51177912403860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89502464443392).

51177912403860 is an abundant number, since it is smaller than the sum of its proper divisors (127827016482924).

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

51177912403860 is a wasteful number, since it uses less digits than its factorization.

51177912403860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68746 (or 68732 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 51177912403860 in words is "fifty-one trillion, one hundred seventy-seven billion, nine hundred twelve million, four hundred three thousand, eight hundred sixty".