60281591040 has 576 divisors, whose sum is σ = 234650545920. Its totient is φ = 14533263360.

The previous prime is 60281591011. The next prime is 60281591057. The reversal of 60281591040 is 4019518206.

60281591040 is a `hidden beast` number, since 6 + 0 + 28 + 1 + 591 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60281590986 and 60281591004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97700812 + ... + 97701428.

It is an arithmetic number, because the mean of its divisors is an integer number (407379420).

Almost surely, 2^60281591040 is an apocalyptic number.

60281591040 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 60281591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117325272960).

60281591040 is an abundant number, since it is smaller than the sum of its proper divisors (174368954880).

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

60281591040 is a wasteful number, since it uses less digits than its factorization.

60281591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 60281591040 in words is "sixty billion, two hundred eighty-one million, five hundred ninety-one thousand, forty".