1026636526080 has 1280 divisors, whose sum is σ = 4165158412800. Its totient is φ = 237404160000.

The previous prime is 1026636526067. The next prime is 1026636526099. The reversal of 1026636526080 is 806256366201.

1026636526080 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 6 + 36 + 5 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1026636526080² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2226977050 + ... + 2226977510.

It is an arithmetic number, because the mean of its divisors is an integer number (3254030010).

Almost surely, 2^{1026636526080} is an apocalyptic number.

1026636526080 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 1026636526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082579206400).

1026636526080 is an abundant number, since it is smaller than the sum of its proper divisors (3138521886720).

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

1026636526080 is a wasteful number, since it uses less digits than its factorization.

1026636526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1026636526080 in words is "one trillion, twenty-six billion, six hundred thirty-six million, five hundred twenty-six thousand, eighty".