1008536649120 has 1728 divisors, whose sum is σ = 4699068401664. Its totient is φ = 191256698880.

The previous prime is 1008536649103. The next prime is 1008536649179. The reversal of 1008536649120 is 219466358001.

1008536649120 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 536 + 6 + 4 + 91 + 20 = 666.

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 287 ways as a sum of consecutive naturals, for example, 2005042789 + ... + 2005043291.

It is an arithmetic number, because the mean of its divisors is an integer number (2719368288).

Almost surely, 2^{1008536649120} is an apocalyptic number.

1008536649120 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 1008536649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349534200832).

1008536649120 is an abundant number, since it is smaller than the sum of its proper divisors (3690531752544).

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

1008536649120 is a wasteful number, since it uses less digits than its factorization.

1008536649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1008536649120 in words is "one trillion, eight billion, five hundred thirty-six million, six hundred forty-nine thousand, one hundred twenty".