10265742489600 has 2160 divisors, whose sum is σ = 41871808938960. Its totient is φ = 2484338688000.

The previous prime is 10265742489571. The next prime is 10265742489659. The reversal of 10265742489600 is 698424756201.

10265742489600 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 7 + 4 + 24 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×10265742489600² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 67985049525 + ... + 67985049675.

It is an arithmetic number, because the mean of its divisors is an integer number (19385096731).

Almost surely, 2^{10265742489600} is an apocalyptic number.

10265742489600 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 10265742489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20935904469480).

10265742489600 is an abundant number, since it is smaller than the sum of its proper divisors (31606066449360).

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

10265742489600 is a wasteful number, since it uses less digits than its factorization.

10265742489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10265742489600 in words is "ten trillion, two hundred sixty-five billion, seven hundred forty-two million, four hundred eighty-nine thousand, six hundred".