1265025024000 has 864 divisors, whose sum is σ = 4771875011904. Its totient is φ = 321807974400.

The previous prime is 1265025023971. The next prime is 1265025024007. The reversal of 1265025024000 is 4205205621.

1265025024000 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 0 + 250 + 2 + 400 + 0 = 666.

It is a super-2 number, since 2×1265025024000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265025024007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3391487814 + ... + 3391488186.

It is an arithmetic number, because the mean of its divisors is an integer number (5523003486).

Almost surely, 2^{1265025024000} is an apocalyptic number.

1265025024000 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 1265025024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385937505952).

1265025024000 is an abundant number, since it is smaller than the sum of its proper divisors (3506849987904).

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

1265025024000 is an frugal number, since it uses more digits than its factorization.

1265025024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1265025024000 in words is "one trillion, two hundred sixty-five billion, twenty-five million, twenty-four thousand".