51198618240 has 1536 divisors, whose sum is σ = 241118208000. Its totient is φ = 10133544960.

The previous prime is 51198618239. The next prime is 51198618253. The reversal of 51198618240 is 4281689115.

It is a happy number.

51198618240 is a `hidden beast` number, since 5 + 1 + 1 + 9 + 8 + 618 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214220041 + ... + 214220279.

It is an arithmetic number, because the mean of its divisors is an integer number (156978000).

Almost surely, 2^51198618240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51198618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120559104000).

51198618240 is an abundant number, since it is smaller than the sum of its proper divisors (189919589760).

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

51198618240 is a wasteful number, since it uses less digits than its factorization.

51198618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 51198618240 in words is "fifty-one billion, one hundred ninety-eight million, six hundred eighteen thousand, two hundred forty".