60880248000 has 1568 divisors, whose sum is σ = 269208942912. Its totient is φ = 13436928000.

The previous prime is 60880247999. The next prime is 60880248083. The reversal of 60880248000 is 84208806.

60880248000 is a `hidden beast` number, since 608 + 8 + 0 + 2 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 833975964 + ... + 833976036.

Almost surely, 2^60880248000 is an apocalyptic number.

60880248000 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 60880248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134604471456).

60880248000 is an abundant number, since it is smaller than the sum of its proper divisors (208328694912).

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

60880248000 is a wasteful number, since it uses less digits than its factorization.

60880248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 60880248000 in words is "sixty billion, eight hundred eighty million, two hundred forty-eight thousand".