60819026083200 has 9216 divisors, whose sum is σ = 325563162624000. Its totient is φ = 10773430272000.

The previous prime is 60819026083199. The next prime is 60819026083213. The reversal of 60819026083200 is 238062091806.

60819026083200 is a `hidden beast` number, since 6 + 0 + 8 + 1 + 9 + 0 + 2 + 608 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 732759350359 + ... + 732759350441.

It is an arithmetic number, because the mean of its divisors is an integer number (35325864000).

Almost surely, 2^{60819026083200} is an apocalyptic number.

60819026083200 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 60819026083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162781581312000).

60819026083200 is an abundant number, since it is smaller than the sum of its proper divisors (264744136540800).

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

60819026083200 is a wasteful number, since it uses less digits than its factorization.

60819026083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 60819026083200 in words is "sixty trillion, eight hundred nineteen billion, twenty-six million, eighty-three thousand, two hundred".