11415820416 has 512 divisors, whose sum is σ = 43133368320. Its totient is φ = 2574581760.

The previous prime is 11415820397. The next prime is 11415820439. The reversal of 11415820416 is 61402851411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6533655 + ... + 6535401.

It is an arithmetic number, because the mean of its divisors is an integer number (84244860).

Almost surely, 2^11415820416 is an apocalyptic number.

11415820416 is a gapful number since it is divisible by the number (16) 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 11415820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566684160).

11415820416 is an abundant number, since it is smaller than the sum of its proper divisors (31717547904).

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

11415820416 is a wasteful number, since it uses less digits than its factorization.

11415820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11415820416 in words is "eleven billion, four hundred fifteen million, eight hundred twenty thousand, four hundred sixteen".