5340415691520 has 2880 divisors, whose sum is σ = 25581769973760. Its totient is φ = 1033031024640.

The previous prime is 5340415691503. The next prime is 5340415691531. The reversal of 5340415691520 is 251965140435.

It is a happy number.

5340415691520 is a `hidden beast` number, since 5 + 3 + 40 + 41 + 569 + 1 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 172271473905 + ... + 172271473935.

Almost surely, 2^{5340415691520} 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 5340415691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790884986880).

5340415691520 is an abundant number, since it is smaller than the sum of its proper divisors (20241354282240).

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

5340415691520 is an equidigital number, since it uses as much as digits as its factorization.

5340415691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5340415691520 in words is "five trillion, three hundred forty billion, four hundred fifteen million, six hundred ninety-one thousand, five hundred twenty".