60891816960 has 704 divisors, whose sum is σ = 240782223360. Its totient is φ = 14491975680.

The previous prime is 60891816959. The next prime is 60891816961. The reversal of 60891816960 is 6961819806.

60891816960 is a `hidden beast` number, since 608 + 9 + 18 + 16 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60891816959) and next prime (60891816961).

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

It is a junction number, because it is equal to n+sod(n) for n = 60891816897 and 60891816906.

It is not an unprimeable number, because it can be changed into a prime (60891816961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55710174 + ... + 55711266.

Almost surely, 2^60891816960 is an apocalyptic number.

60891816960 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 60891816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120391111680).

60891816960 is an abundant number, since it is smaller than the sum of its proper divisors (179890406400).

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

60891816960 is a wasteful number, since it uses less digits than its factorization.

60891816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 60891816960 in words is "sixty billion, eight hundred ninety-one million, eight hundred sixteen thousand, nine hundred sixty".