51127677786800 has 120 divisors (see below), whose sum is σ = 123567168059664. Its totient is φ = 20329210183680.

The previous prime is 51127677786797. The next prime is 51127677786803. The reversal of 51127677786800 is 868777672115.

It is an interprime number because it is at equal distance from previous prime (51127677786797) and next prime (51127677786803).

It is a super-2 number, since 2×51127677786800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51127677786803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98789504 + ... + 99305696.

Almost surely, 2^{51127677786800} is an apocalyptic number.

51127677786800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51127677786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61783584029832).

51127677786800 is an abundant number, since it is smaller than the sum of its proper divisors (72439490272864).

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

51127677786800 is a wasteful number, since it uses less digits than its factorization.

51127677786800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517687 (or 517676 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 65.

The spelling of 51127677786800 in words is "fifty-one trillion, one hundred twenty-seven billion, six hundred seventy-seven million, seven hundred eighty-six thousand, eight hundred".