125882377776 has 160 divisors (see below), whose sum is σ = 384114700800. Its totient is φ = 39358483200.

The previous prime is 125882377729. The next prime is 125882377793. The reversal of 125882377776 is 677773288521.

125882377776 is a `hidden beast` number, since 1 + 258 + 8 + 2 + 377 + 7 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753085 + ... + 904931.

It is an arithmetic number, because the mean of its divisors is an integer number (2400716880).

Almost surely, 2^125882377776 is an apocalyptic number.

125882377776 is a gapful number since it is divisible by the number (16) 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 125882377776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192057350400).

125882377776 is an abundant number, since it is smaller than the sum of its proper divisors (258232323024).

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

125882377776 is a wasteful number, since it uses less digits than its factorization.

125882377776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151984 (or 151972 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The spelling of 125882377776 in words is "one hundred twenty-five billion, eight hundred eighty-two million, three hundred seventy-seven thousand, seven hundred seventy-six".