10236164400 has 900 divisors, whose sum is σ = 46272396016. Its totient is φ = 2121292800.

The previous prime is 10236164399. The next prime is 10236164401. The reversal of 10236164400 is 446163201.

10236164400 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 616 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10236164399) and next prime (10236164401).

It is a tau number, because it is divible by the number of its divisors (900).

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 (10236164401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 27442614 + ... + 27442986.

Almost surely, 2^10236164400 is an apocalyptic number.

10236164400 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 10236164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23136198008).

10236164400 is an abundant number, since it is smaller than the sum of its proper divisors (36036231616).

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

10236164400 is a wasteful number, since it uses less digits than its factorization.

10236164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10236164400 in words is "ten billion, two hundred thirty-six million, one hundred sixty-four thousand, four hundred".