51137740800 has 684 divisors, whose sum is σ = 199585575160. Its totient is φ = 12834570240.

The previous prime is 51137740799. The next prime is 51137740807. The reversal of 51137740800 is 804773115.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51137740807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3008102392 + ... + 3008102408.

Almost surely, 2^51137740800 is an apocalyptic number.

51137740800 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 51137740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792787580).

51137740800 is an abundant number, since it is smaller than the sum of its proper divisors (148447834360).

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

51137740800 is an frugal number, since it uses more digits than its factorization.

51137740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 51137740800 in words is "fifty-one billion, one hundred thirty-seven million, seven hundred forty thousand, eight hundred".