125947165478400 has 2880 divisors, whose sum is σ = 536266850296320. Its totient is φ = 27638267904000.

The previous prime is 125947165478389. The next prime is 125947165478423. The reversal of 125947165478400 is 4874561749521.

It is a happy number.

125947165478400 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 4 + 7 + 1 + 6 + 547 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 703615449511 + ... + 703615449689.

It is an arithmetic number, because the mean of its divisors is an integer number (186203767464).

Almost surely, 2^{125947165478400} is an apocalyptic number.

125947165478400 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 125947165478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268133425148160).

125947165478400 is an abundant number, since it is smaller than the sum of its proper divisors (410319684817920).

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

125947165478400 is a wasteful number, since it uses less digits than its factorization.

125947165478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 125947165478400 in words is "one hundred twenty-five trillion, nine hundred forty-seven billion, one hundred sixty-five million, four hundred seventy-eight thousand, four hundred".