125933437362096 has 480 divisors, whose sum is σ = 439669530460160. Its totient is φ = 32762332901376.

The previous prime is 125933437362079. The next prime is 125933437362101. The reversal of 125933437362096 is 690263734339521.

125933437362096 is a `hidden beast` number, since 1 + 2 + 5 + 93 + 3 + 437 + 3 + 6 + 20 + 96 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1125223836 + ... + 1125335748.

Almost surely, 2^{125933437362096} is an apocalyptic number.

125933437362096 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 125933437362096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219834765230080).

125933437362096 is an abundant number, since it is smaller than the sum of its proper divisors (313736093098064).

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

125933437362096 is a wasteful number, since it uses less digits than its factorization.

125933437362096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113113 (or 113104 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 125933437362096 in words is "one hundred twenty-five trillion, nine hundred thirty-three billion, four hundred thirty-seven million, three hundred sixty-two thousand, ninety-six".