60284110978944 has 1024 divisors, whose sum is σ = 193648836326400. Its totient is φ = 18393661440000.

The previous prime is 60284110978943. The next prime is 60284110979003. The reversal of 60284110978944 is 44987901148206.

60284110978944 is a `hidden beast` number, since 60 + 2 + 8 + 411 + 0 + 9 + 78 + 94 + 4 = 666.

It is a super-2 number, since 2×60284110978944² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60284110978943) 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, 150334441144 + ... + 150334441544.

It is an arithmetic number, because the mean of its divisors is an integer number (189110191725).

Almost surely, 2^{60284110978944} is an apocalyptic number.

60284110978944 is a gapful number since it is divisible by the number (64) 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 60284110978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96824418163200).

60284110978944 is an abundant number, since it is smaller than the sum of its proper divisors (133364725347456).

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

60284110978944 is a wasteful number, since it uses less digits than its factorization.

60284110978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 60284110978944 in words is "sixty trillion, two hundred eighty-four billion, one hundred ten million, nine hundred seventy-eight thousand, nine hundred forty-four".