10248192000 has 408 divisors, whose sum is σ = 37213678320. Its totient is φ = 2713190400.

The previous prime is 10248191983. The next prime is 10248192047. The reversal of 10248192000 is 29184201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73727931 + ... + 73728069.

Almost surely, 2^10248192000 is an apocalyptic number.

10248192000 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 10248192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606839160).

10248192000 is an abundant number, since it is smaller than the sum of its proper divisors (26965486320).

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

10248192000 is an frugal number, since it uses more digits than its factorization.

10248192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 102481 and 92000, that added together give a 4-th power (194481 = 21⁴).

The spelling of 10248192000 in words is "ten billion, two hundred forty-eight million, one hundred ninety-two thousand".