10245897930240 has 1800 divisors, whose sum is σ = 43560449783136. Its totient is φ = 2295027302400.

The previous prime is 10245897930223. The next prime is 10245897930253. The reversal of 10245897930240 is 4203979854201.

10245897930240 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 589 + 7 + 9 + 30 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 37807741305 + ... + 37807741575.

Almost surely, 2^{10245897930240} is an apocalyptic number.

10245897930240 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 10245897930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780224891568).

10245897930240 is an abundant number, since it is smaller than the sum of its proper divisors (33314551852896).

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

10245897930240 is an frugal number, since it uses more digits than its factorization.

10245897930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10245897930240 in words is "ten trillion, two hundred forty-five billion, eight hundred ninety-seven million, nine hundred thirty thousand, two hundred forty".