60821591040 has 1320 divisors, whose sum is σ = 263275429032. Its totient is φ = 13377208320.

The previous prime is 60821590997. The next prime is 60821591041. The reversal of 60821591040 is 4019512806.

60821591040 is a `hidden beast` number, since 6 + 0 + 8 + 21 + 591 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 329204736 + 60492386304 = 18144^2 + 245952^2 .

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 = 60821590986 and 60821591004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60821591041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 833172444 + ... + 833172516.

Almost surely, 2^60821591040 is an apocalyptic number.

60821591040 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 60821591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131637714516).

60821591040 is an abundant number, since it is smaller than the sum of its proper divisors (202453837992).

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

60821591040 is a wasteful number, since it uses less digits than its factorization.

60821591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

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

The spelling of 60821591040 in words is "sixty billion, eight hundred twenty-one million, five hundred ninety-one thousand, forty".