10011516000 has 192 divisors, whose sum is σ = 32875367616. Its totient is φ = 2663424000.

The previous prime is 10011515947. The next prime is 10011516001. The reversal of 10011516000 is 61511001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011516001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7355320 + ... + 7356680.

It is an arithmetic number, because the mean of its divisors is an integer number (171225873).

Almost surely, 2^10011516000 is an apocalyptic number.

10011516000 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 10011516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437683808).

10011516000 is an abundant number, since it is smaller than the sum of its proper divisors (22863851616).

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

10011516000 is a wasteful number, since it uses less digits than its factorization.

10011516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 10011516000 in words is "ten billion, eleven million, five hundred sixteen thousand".