1516387980240 has 480 divisors, whose sum is σ = 5903875461120. Its totient is φ = 341625682944.

The previous prime is 1516387980223. The next prime is 1516387980287. The reversal of 1516387980240 is 420897836151.

1516387980240 is a `hidden beast` number, since 1 + 5 + 16 + 387 + 9 + 8 + 0 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256013919 + ... + 256019841.

It is an arithmetic number, because the mean of its divisors is an integer number (12299740544).

It is a 1-persistent number, because it is pandigital, but 2⋅1516387980240 = 3032775960480 is not.

Almost surely, 2^{1516387980240} is an apocalyptic number.

1516387980240 is a gapful number since it is divisible by the number (10) 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 1516387980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951937730560).

1516387980240 is an abundant number, since it is smaller than the sum of its proper divisors (4387487480880).

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

1516387980240 is a wasteful number, since it uses less digits than its factorization.

1516387980240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1516387980240 in words is "one trillion, five hundred sixteen billion, three hundred eighty-seven million, nine hundred eighty thousand, two hundred forty".