10161216000 has 960 divisors, whose sum is σ = 41824823040. Its totient is φ = 2351923200.

The previous prime is 10161215989. The next prime is 10161216001. The reversal of 10161216000 is 61216101.

10161216000 is a `hidden beast` number, since 1 + 0 + 1 + 61 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (10161216001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172223971 + ... + 172224029.

It is an arithmetic number, because the mean of its divisors is an integer number (43567524).

Almost surely, 2^10161216000 is an apocalyptic number.

10161216000 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 10161216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912411520).

10161216000 is an abundant number, since it is smaller than the sum of its proper divisors (31663607040).

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

10161216000 is a wasteful number, since it uses less digits than its factorization.

10161216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

It can be divided in two parts, 1016121 and 6000, that added together give a square (1022121 = 1011²).

The spelling of 10161216000 in words is "ten billion, one hundred sixty-one million, two hundred sixteen thousand".