10590645780 has 768 divisors, whose sum is σ = 41455411200. Its totient is φ = 2207969280.

The previous prime is 10590645739. The next prime is 10590645787. The reversal of 10590645780 is 8754609501.

10590645780 is a `hidden beast` number, since 1 + 0 + 590 + 6 + 4 + 57 + 8 + 0 = 666.

It is a super-2 number, since 2×10590645780² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10590645787) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 118995976 + ... + 118996064.

It is an arithmetic number, because the mean of its divisors is an integer number (53978400).

Almost surely, 2^10590645780 is an apocalyptic number.

10590645780 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 10590645780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

10590645780 is an abundant number, since it is smaller than the sum of its proper divisors (30864765420).

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

10590645780 is a wasteful number, since it uses less digits than its factorization.

10590645780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10590645780 in words is "ten billion, five hundred ninety million, six hundred forty-five thousand, seven hundred eighty".