125690019840 has 1536 divisors, whose sum is σ = 577093870080. Its totient is φ = 25480396800.

The previous prime is 125690019823. The next prime is 125690019853. The reversal of 125690019840 is 48910096521.

125690019840 is a `hidden beast` number, since 1 + 2 + 569 + 0 + 0 + 1 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3065610220 + ... + 3065610260.

It is an arithmetic number, because the mean of its divisors is an integer number (375712155).

Almost surely, 2^125690019840 is an apocalyptic number.

125690019840 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 125690019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288546935040).

125690019840 is an abundant number, since it is smaller than the sum of its proper divisors (451403850240).

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

125690019840 is an frugal number, since it uses more digits than its factorization.

125690019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 125690019840 in words is "one hundred twenty-five billion, six hundred ninety million, nineteen thousand, eight hundred forty".