10092487672072 has 256 divisors, whose sum is σ = 22935467520000. Its totient is φ = 4112940810240.

The previous prime is 10092487672037. The next prime is 10092487672177. The reversal of 10092487672072 is 27027678429001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469277054 + ... + 1469283922.

It is an arithmetic number, because the mean of its divisors is an integer number (89591670000).

Almost surely, 2^{10092487672072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10092487672072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467733760000).

10092487672072 is an abundant number, since it is smaller than the sum of its proper divisors (12842979847928).

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

10092487672072 is a wasteful number, since it uses less digits than its factorization.

10092487672072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 10092487672072 in words is "ten trillion, ninety-two billion, four hundred eighty-seven million, six hundred seventy-two thousand, seventy-two".