51361407000 has 384 divisors, whose sum is σ = 180453873600. Its totient is φ = 13160448000.

The previous prime is 51361406983. The next prime is 51361407007. The reversal of 51361407000 is 70416315.

51361407000 is a `hidden beast` number, since 513 + 6 + 140 + 7 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51361407007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80126680 + ... + 80127320.

Almost surely, 2^51361407000 is an apocalyptic number.

51361407000 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 51361407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90226936800).

51361407000 is an abundant number, since it is smaller than the sum of its proper divisors (129092466600).

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

51361407000 is a wasteful number, since it uses less digits than its factorization.

51361407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 51361407000 in words is "fifty-one billion, three hundred sixty-one million, four hundred seven thousand".