10116511200 has 180 divisors, whose sum is σ = 36893185560. Its totient is φ = 2697719040.

The previous prime is 10116511159. The next prime is 10116511241. The reversal of 10116511200 is 211561101.

It is a happy number.

10116511200 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 651 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10116511159) and next prime (10116511241).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13260 + ... + 142859.

It is an arithmetic number, because the mean of its divisors is an integer number (204962142).

Almost surely, 2^10116511200 is an apocalyptic number.

10116511200 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 10116511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446592780).

10116511200 is an abundant number, since it is smaller than the sum of its proper divisors (26776674360).

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

10116511200 is a wasteful number, since it uses less digits than its factorization.

10116511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156151 (or 156129 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The spelling of 10116511200 in words is "ten billion, one hundred sixteen million, five hundred eleven thousand, two hundred".