125777496600 has 960 divisors, whose sum is σ = 529830850560. Its totient is φ = 27041817600.

The previous prime is 125777496599. The next prime is 125777496613. The reversal of 125777496600 is 6694777521.

125777496600 is a `hidden beast` number, since 1 + 2 + 577 + 7 + 4 + 9 + 6 + 60 + 0 = 666.

125777496600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 130069317 + ... + 130070283.

It is an arithmetic number, because the mean of its divisors is an integer number (551907136).

Almost surely, 2^125777496600 is an apocalyptic number.

125777496600 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 125777496600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264915425280).

125777496600 is an abundant number, since it is smaller than the sum of its proper divisors (404053353960).

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

125777496600 is a wasteful number, since it uses less digits than its factorization.

125777496600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 125777496600 in words is "one hundred twenty-five billion, seven hundred seventy-seven million, four hundred ninety-six thousand, six hundred".