60617138039040 has 1152 divisors, whose sum is σ = 219313756569600. Its totient is φ = 14141443276800.

The previous prime is 60617138039027. The next prime is 60617138039041. The reversal of 60617138039040 is 4093083171606.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (60617138039041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43328904261 + ... + 43328905659.

It is an arithmetic number, because the mean of its divisors is an integer number (190376524800).

Almost surely, 2^{60617138039040} is an apocalyptic number.

60617138039040 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 60617138039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109656878284800).

60617138039040 is an abundant number, since it is smaller than the sum of its proper divisors (158696618530560).

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

60617138039040 is a wasteful number, since it uses less digits than its factorization.

60617138039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 60617138039040 in words is "sixty trillion, six hundred seventeen billion, one hundred thirty-eight million, thirty-nine thousand, forty".