10059836742072 has 192 divisors, whose sum is σ = 30938111568000. Its totient is φ = 2927423400192.

The previous prime is 10059836742049. The next prime is 10059836742073. The reversal of 10059836742072 is 27024763895001.

It is a happy number.

10059836742072 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 98 + 3 + 67 + 420 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059836742073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9957379 + ... + 10921037.

It is an arithmetic number, because the mean of its divisors is an integer number (161135997750).

It is a 1-persistent number, because it is pandigital, but 2⋅10059836742072 = 20119673484144 is not.

Almost surely, 2^{10059836742072} is an apocalyptic number.

10059836742072 is a gapful number since it is divisible by the number (12) 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 10059836742072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469055784000).

10059836742072 is an abundant number, since it is smaller than the sum of its proper divisors (20878274825928).

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

10059836742072 is a wasteful number, since it uses less digits than its factorization.

10059836742072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964290 (or 964283 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10059836742072 in words is "ten trillion, fifty-nine billion, eight hundred thirty-six million, seven hundred forty-two thousand, seventy-two".