10025041462272 has 176 divisors, whose sum is σ = 29902926446400. Its totient is φ = 3317638348800.

The previous prime is 10025041462231. The next prime is 10025041462279. The reversal of 10025041462272 is 27226414052001.

10025041462272 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 504 + 146 + 2 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10025041462279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538772 + ... + 5147372.

Almost surely, 2^{10025041462272} is an apocalyptic number.

10025041462272 is a gapful number since it is divisible by the number (12) 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 10025041462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951463223200).

10025041462272 is an abundant number, since it is smaller than the sum of its proper divisors (19877884984128).

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

10025041462272 is a wasteful number, since it uses less digits than its factorization.

10025041462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608769 (or 2608745 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10025041462272 in words is "ten trillion, twenty-five billion, forty-one million, four hundred sixty-two thousand, two hundred seventy-two".