60871726419840 has 1024 divisors, whose sum is σ = 255038789376000. Its totient is φ = 13425477746688.

The previous prime is 60871726419827. The next prime is 60871726419853. The reversal of 60871726419840 is 4891462717806.

60871726419840 is a `hidden beast` number, since 6 + 0 + 8 + 7 + 172 + 6 + 419 + 8 + 40 = 666.

60871726419840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60871726419827) and next prime (60871726419853).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6991120767 + ... + 6991129473.

It is an arithmetic number, because the mean of its divisors is an integer number (249061317750).

Almost surely, 2^{60871726419840} is an apocalyptic number.

60871726419840 is a gapful number since it is divisible by the number (60) 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 60871726419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127519394688000).

60871726419840 is an abundant number, since it is smaller than the sum of its proper divisors (194167062956160).

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

60871726419840 is a wasteful number, since it uses less digits than its factorization.

60871726419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 60871726419840 in words is "sixty trillion, eight hundred seventy-one billion, seven hundred twenty-six million, four hundred nineteen thousand, eight hundred forty".