10278057160672 has 192 divisors, whose sum is σ = 25017523743744. Its totient is φ = 4061067816960.

The previous prime is 10278057160643. The next prime is 10278057160681. The reversal of 10278057160672 is 27606175087201.

10278057160672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17239138 + ... + 17825374.

It is an arithmetic number, because the mean of its divisors is an integer number (130299602832).

Almost surely, 2^{10278057160672} 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 10278057160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508761871872).

10278057160672 is an abundant number, since it is smaller than the sum of its proper divisors (14739466583072).

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

10278057160672 is a wasteful number, since it uses less digits than its factorization.

10278057160672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586401 (or 586393 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 10278057160672 in words is "ten trillion, two hundred seventy-eight billion, fifty-seven million, one hundred sixty thousand, six hundred seventy-two".