60206284800 has 408 divisors, whose sum is σ = 221363190480. Its totient is φ = 16043212800.

The previous prime is 60206284759. The next prime is 60206284829. The reversal of 60206284800 is 848260206.

60206284800 is a `hidden beast` number, since 6 + 0 + 20 + 628 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×60206284800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236120 + ... + 44237480.

Almost surely, 2^60206284800 is an apocalyptic number.

60206284800 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 60206284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110681595240).

60206284800 is an abundant number, since it is smaller than the sum of its proper divisors (161156905680).

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

60206284800 is an equidigital number, since it uses as much as digits as its factorization.

60206284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 60206284800 in words is "sixty billion, two hundred six million, two hundred eighty-four thousand, eight hundred".