51198086456 has 128 divisors (see below), whose sum is σ = 111441899520. Its totient is φ = 21832320000.

The previous prime is 51198086419. The next prime is 51198086477. The reversal of 51198086456 is 65468089115.

It is a junction number, because it is equal to n+sod(n) for n = 51198086398 and 51198086407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18677246 + ... + 18679986.

It is an arithmetic number, because the mean of its divisors is an integer number (870639840).

Almost surely, 2^51198086456 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 51198086456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55720949760).

51198086456 is an abundant number, since it is smaller than the sum of its proper divisors (60243813064).

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

51198086456 is a wasteful number, since it uses less digits than its factorization.

51198086456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 53.

The spelling of 51198086456 in words is "fifty-one billion, one hundred ninety-eight million, eighty-six thousand, four hundred fifty-six".