125778485733768 has 192 divisors, whose sum is σ = 413122562012160. Its totient is φ = 35100972599616.

The previous prime is 125778485733743. The next prime is 125778485733773. The reversal of 125778485733768 is 867337584877521.

125778485733768 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 7 + 8 + 4 + 8 + 573 + 37 + 6 + 8 = 666.

It is a super-4 number, since 4×125778485733768⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 47 ways as a sum of consecutive naturals, for example, 106891380 + ... + 108061667.

It is an arithmetic number, because the mean of its divisors is an integer number (2151680010480).

Almost surely, 2^{125778485733768} is an apocalyptic number.

125778485733768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125778485733768 is an abundant number, since it is smaller than the sum of its proper divisors (287344076278392).

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

125778485733768 is a wasteful number, since it uses less digits than its factorization.

125778485733768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214953118 (or 214953102 counting only the distinct ones).

The product of its digits is 13276569600, while the sum is 81.

The spelling of 125778485733768 in words is "one hundred twenty-five trillion, seven hundred seventy-eight billion, four hundred eighty-five million, seven hundred thirty-three thousand, seven hundred sixty-eight".