125593778016 has 192 divisors, whose sum is σ = 419515407360. Its totient is φ = 35809413120.

The previous prime is 125593778003. The next prime is 125593778027. The reversal of 125593778016 is 610877395521.

125593778016 is a `hidden beast` number, since 1 + 2 + 559 + 3 + 7 + 7 + 80 + 1 + 6 = 666.

It is a super-3 number, since 3×125593778016³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2924056 + ... + 2966696.

It is an arithmetic number, because the mean of its divisors is an integer number (2184976080).

Almost surely, 2^125593778016 is an apocalyptic number.

125593778016 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 125593778016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209757703680).

125593778016 is an abundant number, since it is smaller than the sum of its proper divisors (293921629344).

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

125593778016 is a wasteful number, since it uses less digits than its factorization.

125593778016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43154 (or 43140 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 125593778016 in words is "one hundred twenty-five billion, five hundred ninety-three million, seven hundred seventy-eight thousand, sixteen".