1062506090880 has 512 divisors, whose sum is σ = 4094369596800. Its totient is φ = 258838364160.

The previous prime is 1062506090761. The next prime is 1062506090887. The reversal of 1062506090880 is 880906052601.

1062506090880 is a `hidden beast` number, since 1 + 0 + 62 + 506 + 0 + 9 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×1062506090880² (a number of 25 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 (1062506090887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21765700 + ... + 21814460.

Almost surely, 2^{1062506090880} is an apocalyptic number.

1062506090880 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 1062506090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047184798400).

1062506090880 is an abundant number, since it is smaller than the sum of its proper divisors (3031863505920).

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

1062506090880 is a wasteful number, since it uses less digits than its factorization.

1062506090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48899 (or 48881 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1062506090880 in words is "one trillion, sixty-two billion, five hundred six million, ninety thousand, eight hundred eighty".