60938956800 has 936 divisors, whose sum is σ = 236613744640. Its totient is φ = 15527116800.

The previous prime is 60938956787. The next prime is 60938956801. The reversal of 60938956800 is 865983906.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (60938956801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 771379161 + ... + 771379239.

Almost surely, 2^60938956800 is an apocalyptic number.

60938956800 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 60938956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118306872320).

60938956800 is an abundant number, since it is smaller than the sum of its proper divisors (175674787840).

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

60938956800 is an equidigital number, since it uses as much as digits as its factorization.

60938956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 60938956800 in words is "sixty billion, nine hundred thirty-eight million, nine hundred fifty-six thousand, eight hundred".