60493638081240 has 1152 divisors, whose sum is σ = 259296064634880. Its totient is φ = 12351593733120.

The previous prime is 60493638081223. The next prime is 60493638081301. The reversal of 60493638081240 is 4218083639406.

60493638081240 is a `hidden beast` number, since 6 + 0 + 493 + 6 + 38 + 0 + 81 + 2 + 40 = 666.

60493638081240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 287 ways as a sum of consecutive naturals, for example, 849988137 + ... + 850059303.

It is an arithmetic number, because the mean of its divisors is an integer number (225083389440).

Almost surely, 2^{60493638081240} is an apocalyptic number.

60493638081240 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 60493638081240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129648032317440).

60493638081240 is an abundant number, since it is smaller than the sum of its proper divisors (198802426553640).

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

60493638081240 is a wasteful number, since it uses less digits than its factorization.

60493638081240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71275 (or 71228 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 60493638081240 in words is "sixty trillion, four hundred ninety-three billion, six hundred thirty-eight million, eighty-one thousand, two hundred forty".