51140369000 has 576 divisors, whose sum is σ = 154743741360. Its totient is φ = 15715123200.

The previous prime is 51140368999. The next prime is 51140369023. The reversal of 51140369000 is 96304115.

It can be written as a sum of positive squares in 24 ways, for example, as 7737313444 + 43403055556 = 87962^2 + 208334^2 .

It is a super-2 number, since 2×51140369000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 700552964 + ... + 700553036.

Almost surely, 2^51140369000 is an apocalyptic number.

51140369000 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 51140369000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77371870680).

51140369000 is an abundant number, since it is smaller than the sum of its proper divisors (103603372360).

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

51140369000 is a wasteful number, since it uses less digits than its factorization.

51140369000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 51140369000 in words is "fifty-one billion, one hundred forty million, three hundred sixty-nine thousand".