15016401516640 has 24 divisors (see below), whose sum is σ = 35476248583440. Its totient is φ = 6006560606592.

The previous prime is 15016401516587. The next prime is 15016401516713. The reversal of 15016401516640 is 4661510461051.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15016401516593 and 15016401516602.

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 3 ways as a sum of consecutive naturals, for example, 46926254580 + ... + 46926254899.

It is an arithmetic number, because the mean of its divisors is an integer number (1478177024310).

Almost surely, 2^{15016401516640} is an apocalyptic number.

15016401516640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15016401516640 is an abundant number, since it is smaller than the sum of its proper divisors (20459847066800).

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

15016401516640 is an equidigital number, since it uses as much as digits as its factorization.

15016401516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93852509494 (or 93852509486 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 15016401516640 its reverse (4661510461051), we get a palindrome (19677911977691).

The spelling of 15016401516640 in words is "fifteen trillion, sixteen billion, four hundred one million, five hundred sixteen thousand, six hundred forty".