10501990287360 has 1152 divisors, whose sum is σ = 40344329975040. Its totient is φ = 2316238848000.

The previous prime is 10501990287343. The next prime is 10501990287389. The reversal of 10501990287360 is 6378209910501.

It is a super-2 number, since 2×10501990287360² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3430900230 + ... + 3430903290.

It is an arithmetic number, because the mean of its divisors is an integer number (35021119770).

Almost surely, 2^{10501990287360} is an apocalyptic number.

10501990287360 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 10501990287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20172164987520).

10501990287360 is an abundant number, since it is smaller than the sum of its proper divisors (29842339687680).

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

10501990287360 is a wasteful number, since it uses less digits than its factorization.

10501990287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 10501990287360 in words is "ten trillion, five hundred one billion, nine hundred ninety million, two hundred eighty-seven thousand, three hundred sixty".