16515077040 has 1440 divisors, whose sum is σ = 77800020480. Its totient is φ = 3175096320.

The previous prime is 16515077027. The next prime is 16515077041. The reversal of 16515077040 is 4077051561.

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 = 16515076986 and 16515077004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16515077041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 279916531 + ... + 279916589.

It is an arithmetic number, because the mean of its divisors is an integer number (54027792).

Almost surely, 2^16515077040 is an apocalyptic number.

16515077040 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 16515077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38900010240).

16515077040 is an abundant number, since it is smaller than the sum of its proper divisors (61284943440).

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

16515077040 is a wasteful number, since it uses less digits than its factorization.

16515077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 16515077040 in words is "sixteen billion, five hundred fifteen million, seventy-seven thousand, forty".