125104778201088 has 1536 divisors, whose sum is σ = 470477461708800. Its totient is φ = 32004737335296.

The previous prime is 125104778201063. The next prime is 125104778201099. The reversal of 125104778201088 is 880102877401521.

125104778201088 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 0 + 477 + 82 + 0 + 10 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29209612195 + ... + 29209616477.

It is an arithmetic number, because the mean of its divisors is an integer number (306300430800).

Almost surely, 2^{125104778201088} is an apocalyptic number.

125104778201088 is a gapful number since it is divisible by the number (18) 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 125104778201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235238730854400).

125104778201088 is an abundant number, since it is smaller than the sum of its proper divisors (345372683507712).

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

125104778201088 is a wasteful number, since it uses less digits than its factorization.

125104778201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 125104778201088 in words is "one hundred twenty-five trillion, one hundred four billion, seven hundred seventy-eight million, two hundred one thousand, eighty-eight".