10051047086080 has 1152 divisors, whose sum is σ = 33248215203840. Its totient is φ = 2866438471680.

The previous prime is 10051047086063. The next prime is 10051047086089. The reversal of 10051047086080 is 8068074015001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10051047086089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9112462809 + ... + 9112463911.

It is an arithmetic number, because the mean of its divisors is an integer number (28861297920).

Almost surely, 2^{10051047086080} is an apocalyptic number.

10051047086080 is a gapful number since it is divisible by the number (10) 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 10051047086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16624107601920).

10051047086080 is an abundant number, since it is smaller than the sum of its proper divisors (23197168117760).

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

10051047086080 is a wasteful number, since it uses less digits than its factorization.

10051047086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 10051047086080 in words is "ten trillion, fifty-one billion, forty-seven million, eighty-six thousand, eighty".