10238890147200 has 2304 divisors, whose sum is σ = 44867747923200. Its totient is φ = 2288308838400.

The previous prime is 10238890147183. The next prime is 10238890147201. The reversal of 10238890147200 is 274109883201.

It is a happy number.

10238890147200 is a `hidden beast` number, since 10 + 2 + 3 + 88 + 90 + 1 + 472 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10238890147201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13010025207 + ... + 13010025993.

It is an arithmetic number, because the mean of its divisors is an integer number (19473848925).

Almost surely, 2^{10238890147200} is an apocalyptic number.

10238890147200 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 10238890147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433873961600).

10238890147200 is an abundant number, since it is smaller than the sum of its proper divisors (34628857776000).

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

10238890147200 is an equidigital number, since it uses as much as digits as its factorization.

10238890147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10238890147200 in words is "ten trillion, two hundred thirty-eight billion, eight hundred ninety million, one hundred forty-seven thousand, two hundred".