125535795840 has 1920 divisors, whose sum is σ = 585425491200. Its totient is φ = 25050415104.

The previous prime is 125535795823. The next prime is 125535795857. The reversal of 125535795840 is 48597535521.

125535795840 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 3 + 57 + 9 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125535795823) and next prime (125535795857).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×125535795840² (a number of 23 digits) contains 22 as substring.

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

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, 1410514516 + ... + 1410514604.

It is an arithmetic number, because the mean of its divisors is an integer number (304909110).

Almost surely, 2^125535795840 is an apocalyptic number.

125535795840 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 125535795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292712745600).

125535795840 is an abundant number, since it is smaller than the sum of its proper divisors (459889695360).

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

125535795840 is a wasteful number, since it uses less digits than its factorization.

125535795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 125535795840 in words is "one hundred twenty-five billion, five hundred thirty-five million, seven hundred ninety-five thousand, eight hundred forty".