51400115536 has 160 divisors (see below), whose sum is σ = 137182076928. Its totient is φ = 18028369920.

The previous prime is 51400115521. The next prime is 51400115551. The reversal of 51400115536 is 63551100415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51400115521) and next prime (51400115551).

It is a super-3 number, since 3×51400115536³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 51400115498 and 51400115507.

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, 428361 + ... + 535063.

Almost surely, 2^51400115536 is an apocalyptic number.

51400115536 is a gapful number since it is divisible by the number (56) 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 51400115536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68591038464).

51400115536 is an abundant number, since it is smaller than the sum of its proper divisors (85781961392).

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

51400115536 is a wasteful number, since it uses less digits than its factorization.

51400115536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106769 (or 106763 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 51400115536 in words is "fifty-one billion, four hundred million, one hundred fifteen thousand, five hundred thirty-six".