125485440537600 has 2640 divisors, whose sum is σ = 574648661590080. Its totient is φ = 26601534259200.

The previous prime is 125485440537577. The next prime is 125485440537641. The reversal of 125485440537600 is 6735044584521.

125485440537600 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 8 + 5 + 4 + 40 + 537 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5633960064 + ... + 5633982336.

It is an arithmetic number, because the mean of its divisors is an integer number (217669947572).

Almost surely, 2^{125485440537600} is an apocalyptic number.

125485440537600 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 125485440537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287324330795040).

125485440537600 is an abundant number, since it is smaller than the sum of its proper divisors (449163221052480).

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

125485440537600 is a wasteful number, since it uses less digits than its factorization.

125485440537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22358 (or 22326 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 125485440537600 in words is "one hundred twenty-five trillion, four hundred eighty-five billion, four hundred forty million, five hundred thirty-seven thousand, six hundred".