125778735360 has 1152 divisors, whose sum is σ = 501077606400. Its totient is φ = 29740400640.

The previous prime is 125778735343. The next prime is 125778735377. The reversal of 125778735360 is 63537877521.

It is a happy number.

125778735360 is a `hidden beast` number, since 1 + 2 + 577 + 8 + 7 + 3 + 5 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (125778735343) and next prime (125778735377).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 125778735297 and 125778735306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753165997 + ... + 753166163.

It is an arithmetic number, because the mean of its divisors is an integer number (434963200).

Almost surely, 2^125778735360 is an apocalyptic number.

125778735360 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 125778735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250538803200).

125778735360 is an abundant number, since it is smaller than the sum of its proper divisors (375298871040).

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

125778735360 is a wasteful number, since it uses less digits than its factorization.

125778735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 125778735360 in words is "one hundred twenty-five billion, seven hundred seventy-eight million, seven hundred thirty-five thousand, three hundred sixty".