5151162090240 has 576 divisors, whose sum is σ = 19979150929920. Its totient is φ = 1251131719680.

The previous prime is 5151162090211. The next prime is 5151162090241. The reversal of 5151162090240 is 420902611515.

5151162090240 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 1 + 620 + 9 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 5151162090195 and 5151162090204.

It is not an unprimeable number, because it can be changed into a prime (5151162090241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18071707 + ... + 18354533.

It is an arithmetic number, because the mean of its divisors is an integer number (34686025920).

Almost surely, 2^{5151162090240} 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 5151162090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989575464960).

5151162090240 is an abundant number, since it is smaller than the sum of its proper divisors (14827988839680).

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

5151162090240 is a wasteful number, since it uses less digits than its factorization.

5151162090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282905 (or 282885 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 5151162090240 in words is "five trillion, one hundred fifty-one billion, one hundred sixty-two million, ninety thousand, two hundred forty".