10151056352780 has 192 divisors, whose sum is σ = 24710743249920. Its totient is φ = 3430979887104.

The previous prime is 10151056352719. The next prime is 10151056352797. The reversal of 10151056352780 is 8725365015101.

10151056352780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114774791 + ... + 3114778049.

It is an arithmetic number, because the mean of its divisors is an integer number (128701787760).

Almost surely, 2^{10151056352780} is an apocalyptic number.

10151056352780 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 10151056352780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355371624960).

10151056352780 is an abundant number, since it is smaller than the sum of its proper divisors (14559686897140).

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

10151056352780 is a wasteful number, since it uses less digits than its factorization.

10151056352780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 10151056352780 in words is "ten trillion, one hundred fifty-one billion, fifty-six million, three hundred fifty-two thousand, seven hundred eighty".