11358902016 has 432 divisors, whose sum is σ = 41809447680. Its totient is φ = 2879815680.

The previous prime is 11358902011. The next prime is 11358902021. The reversal of 11358902016 is 61020985311.

11358902016 is a `hidden beast` number, since 11 + 358 + 90 + 201 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11358902011) and next prime (11358902021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11358902011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7627800 + ... + 7629288.

Almost surely, 2^11358902016 is an apocalyptic number.

11358902016 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 11358902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20904723840).

11358902016 is an abundant number, since it is smaller than the sum of its proper divisors (30450545664).

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

11358902016 is a wasteful number, since it uses less digits than its factorization.

11358902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11358902016 in words is "eleven billion, three hundred fifty-eight million, nine hundred two thousand, sixteen".