10925254248480 has 960 divisors, whose sum is σ = 46860008025600. Its totient is φ = 2360496660480.

The previous prime is 10925254248437. The next prime is 10925254248511. The reversal of 10925254248480 is 8484245252901.

It is a happy number.

10925254248480 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 52 + 542 + 4 + 8 + 48 + 0 = 666.

10925254248480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10925254248480² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53643481 + ... + 53846759.

It is an arithmetic number, because the mean of its divisors is an integer number (48812508360).

Almost surely, 2^{10925254248480} is an apocalyptic number.

10925254248480 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 10925254248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430004012800).

10925254248480 is an abundant number, since it is smaller than the sum of its proper divisors (35934753777120).

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

10925254248480 is a wasteful number, since it uses less digits than its factorization.

10925254248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203359 (or 203342 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 10925254248480 in words is "ten trillion, nine hundred twenty-five billion, two hundred fifty-four million, two hundred forty-eight thousand, four hundred eighty".