10590902570820 has 576 divisors, whose sum is σ = 37556463732480. Its totient is φ = 2208425472000.

The previous prime is 10590902570789. The next prime is 10590902570827. The reversal of 10590902570820 is 2807520909501.

10590902570820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10590902570820² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10590902570820.

It is not an unprimeable number, because it can be changed into a prime (10590902570827) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109338010 + ... + 109434830.

It is an arithmetic number, because the mean of its divisors is an integer number (65202193980).

Almost surely, 2^{10590902570820} is an apocalyptic number.

10590902570820 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 10590902570820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778231866240).

10590902570820 is an abundant number, since it is smaller than the sum of its proper divisors (26965561161660).

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

10590902570820 is a wasteful number, since it uses less digits than its factorization.

10590902570820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96948 (or 96935 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 10590902570820 in words is "ten trillion, five hundred ninety billion, nine hundred two million, five hundred seventy thousand, eight hundred twenty".