73859106048 has 576 divisors, whose sum is σ = 253703503872. Its totient is φ = 18552913920.

The previous prime is 73859106023. The next prime is 73859106053. The reversal of 73859106048 is 84060195837.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158156311 + ... + 158156777.

It is an arithmetic number, because the mean of its divisors is an integer number (440457472).

Almost surely, 2^73859106048 is an apocalyptic number.

73859106048 is a gapful number since it is divisible by the number (78) 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 73859106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126851751936).

73859106048 is an abundant number, since it is smaller than the sum of its proper divisors (179844397824).

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

73859106048 is a wasteful number, since it uses less digits than its factorization.

73859106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 73859106048 in words is "seventy-three billion, eight hundred fifty-nine million, one hundred six thousand, forty-eight".