60133748193792 has 960 divisors, whose sum is σ = 220770433787904. Its totient is φ = 15328369704960.

The previous prime is 60133748193773. The next prime is 60133748193887. The reversal of 60133748193792 is 29739184733106.

It is a happy number.

60133748193792 is a `hidden beast` number, since 6 + 0 + 1 + 3 + 37 + 481 + 9 + 37 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12180217948 + ... + 12180222884.

Almost surely, 2^{60133748193792} is an apocalyptic number.

60133748193792 is a gapful number since it is divisible by the number (62) 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 60133748193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110385216893952).

60133748193792 is an abundant number, since it is smaller than the sum of its proper divisors (160636685594112).

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

60133748193792 is a wasteful number, since it uses less digits than its factorization.

60133748193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 60133748193792 in words is "sixty trillion, one hundred thirty-three billion, seven hundred forty-eight million, one hundred ninety-three thousand, seven hundred ninety-two".