125883284480 has 88 divisors (see below), whose sum is σ = 303228332880. Its totient is φ = 50143887360.

The previous prime is 125883284413. The next prime is 125883284519. The reversal of 125883284480 is 84482388521.

It is a happy number.

It is a super-2 number, since 2×125883284480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1182911 + ... + 1284929.

It is an arithmetic number, because the mean of its divisors is an integer number (3445776510).

Almost surely, 2^125883284480 is an apocalyptic number.

125883284480 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 125883284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151614166440).

125883284480 is an abundant number, since it is smaller than the sum of its proper divisors (177345048400).

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

125883284480 is a wasteful number, since it uses less digits than its factorization.

125883284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102285 (or 102267 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 53.

The spelling of 125883284480 in words is "one hundred twenty-five billion, eight hundred eighty-three million, two hundred eighty-four thousand, four hundred eighty".