59781982163904 has 1792 divisors, whose sum is σ = 252336126873600. Its totient is φ = 13355974656000.

The previous prime is 59781982163861. The next prime is 59781982164007. The reversal of 59781982163904 is 40936128918795.

59781982163904 is a `hidden beast` number, since 5 + 9 + 7 + 8 + 19 + 8 + 216 + 390 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2969932912 + ... + 2969953040.

It is an arithmetic number, because the mean of its divisors is an integer number (140812570800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅59781982163904 = 119563964327808, but 3⋅59781982163904 = 179345946491712 is not.

Almost surely, 2^{59781982163904} is an apocalyptic number.

59781982163904 is a gapful number since it is divisible by the number (54) 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 59781982163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126168063436800).

59781982163904 is an abundant number, since it is smaller than the sum of its proper divisors (192554144709696).

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

59781982163904 is a wasteful number, since it uses less digits than its factorization.

59781982163904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20299 (or 20283 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 59781982163904 in words is "fifty-nine trillion, seven hundred eighty-one billion, nine hundred eighty-two million, one hundred sixty-three thousand, nine hundred four".