60993892872000 has 2016 divisors, whose sum is σ = 252315143368704. Its totient is φ = 13946508288000.

The previous prime is 60993892871993. The next prime is 60993892872091. The reversal of 60993892872000 is 27829839906.

60993892872000 is a `hidden beast` number, since 60 + 9 + 93 + 8 + 9 + 287 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 109504295722 + ... + 109504296278.

Almost surely, 2^{60993892872000} is an apocalyptic number.

60993892872000 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 60993892872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126157571684352).

60993892872000 is an abundant number, since it is smaller than the sum of its proper divisors (191321250496704).

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

60993892872000 is a wasteful number, since it uses less digits than its factorization.

60993892872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 60993892872000 in words is "sixty trillion, nine hundred ninety-three billion, eight hundred ninety-two million, eight hundred seventy-two thousand".