125833236480 has 1664 divisors, whose sum is σ = 566161920000. Its totient is φ = 25862602752.

The previous prime is 125833236457. The next prime is 125833236521. The reversal of 125833236480 is 84632338521.

125833236480 is a `hidden beast` number, since 1 + 2 + 583 + 3 + 2 + 3 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2132766691 + ... + 2132766749.

Almost surely, 2^125833236480 is an apocalyptic number.

125833236480 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 125833236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283080960000).

125833236480 is an abundant number, since it is smaller than the sum of its proper divisors (440328683520).

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

125833236480 is a wasteful number, since it uses less digits than its factorization.

125833236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 125833236480 in words is "one hundred twenty-five billion, eight hundred thirty-three million, two hundred thirty-six thousand, four hundred eighty".