16748615520 has 1296 divisors, whose sum is σ = 77878447920. Its totient is φ = 3239792640.

The previous prime is 16748615467. The next prime is 16748615549. The reversal of 16748615520 is 2551684761.

16748615520 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 8 + 615 + 5 + 20 = 666.

It is a super-2 number, since 2×16748615520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 540277905 + ... + 540277935.

It is an arithmetic number, because the mean of its divisors is an integer number (60091395).

Almost surely, 2^16748615520 is an apocalyptic number.

16748615520 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 16748615520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38939223960).

16748615520 is an abundant number, since it is smaller than the sum of its proper divisors (61129832400).

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

16748615520 is a wasteful number, since it uses less digits than its factorization.

16748615520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 16748615520 in words is "sixteen billion, seven hundred forty-eight million, six hundred fifteen thousand, five hundred twenty".