60989241600 has 945 divisors, whose sum is σ = 263088864577. Its totient is φ = 13940398080.

The previous prime is 60989241587. The next prime is 60989241601. The reversal of 60989241600 is 614298906.

It is a happy number.

The square root of 60989241600 is 246960.

It is a perfect power (a square), and thus also a powerful number.

60989241600 is a `hidden beast` number, since 60 + 98 + 92 + 416 + 0 + 0 = 666.

60989241600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21956126976 + 39033114624 = 148176^2 + 197568^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (60989241601) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 8712748797 + ... + 8712748803.

Almost surely, 2^60989241600 is an apocalyptic number.

60989241600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60989241600 is the 246960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60989241600

60989241600 is an abundant number, since it is smaller than the sum of its proper divisors (202099622977).

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

60989241600 is an frugal number, since it uses more digits than its factorization.

60989241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 60989241600 in words is "sixty billion, nine hundred eighty-nine million, two hundred forty-one thousand, six hundred".