5151268362240 has 2304 divisors, whose sum is σ = 25034038848000. Its totient is φ = 987683880960.

The previous prime is 5151268362211. The next prime is 5151268362271. The reversal of 5151268362240 is 422638621515.

5151268362240 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 268 + 362 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1937294031 + ... + 1937296689.

It is an arithmetic number, because the mean of its divisors is an integer number (10865468250).

Almost surely, 2^{5151268362240} 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 5151268362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517019424000).

5151268362240 is an abundant number, since it is smaller than the sum of its proper divisors (19882770485760).

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

5151268362240 is a wasteful number, since it uses less digits than its factorization.

5151268362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5151268362240 in words is "five trillion, one hundred fifty-one billion, two hundred sixty-eight million, three hundred sixty-two thousand, two hundred forty".