10161763200 has 384 divisors, whose sum is σ = 37406460000. Its totient is φ = 2694021120.

The previous prime is 10161763189. The next prime is 10161763201. The reversal of 10161763200 is 236716101.

10161763200 is a `hidden beast` number, since 1 + 0 + 16 + 17 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10161763200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10161763201) 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, 29116626 + ... + 29116974.

Almost surely, 2^10161763200 is an apocalyptic number.

10161763200 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 10161763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18703230000).

10161763200 is an abundant number, since it is smaller than the sum of its proper divisors (27244696800).

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

10161763200 is a wasteful number, since it uses less digits than its factorization.

10161763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10161763200 in words is "ten billion, one hundred sixty-one million, seven hundred sixty-three thousand, two hundred".