515989787040 has 1152 divisors, whose sum is σ = 2298195873792. Its totient is φ = 102478970880.

The previous prime is 515989787017. The next prime is 515989787059. The reversal of 515989787040 is 40787989515.

515989787040 is a `hidden beast` number, since 515 + 9 + 8 + 9 + 7 + 8 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150301164 + ... + 150304596.

It is an arithmetic number, because the mean of its divisors is an integer number (1994961696).

Almost surely, 2^515989787040 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 515989787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149097936896).

515989787040 is an abundant number, since it is smaller than the sum of its proper divisors (1782206086752).

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

515989787040 is a wasteful number, since it uses less digits than its factorization.

515989787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 515989787040 in words is "five hundred fifteen billion, nine hundred eighty-nine million, seven hundred eighty-seven thousand, forty".