10813157735040 has 512 divisors, whose sum is σ = 39572268595200. Its totient is φ = 2787648307200.

The previous prime is 10813157734999. The next prime is 10813157735069. The reversal of 10813157735040 is 4053775131801.

10813157735040 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 3 + 1 + 577 + 35 + 0 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 553347670 + ... + 553367210.

It is an arithmetic number, because the mean of its divisors is an integer number (77289587100).

Almost surely, 2^{10813157735040} is an apocalyptic number.

10813157735040 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 10813157735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786134297600).

10813157735040 is an abundant number, since it is smaller than the sum of its proper divisors (28759110860160).

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

10813157735040 is a wasteful number, since it uses less digits than its factorization.

10813157735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20633 (or 20615 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10813157735040 in words is "ten trillion, eight hundred thirteen billion, one hundred fifty-seven million, seven hundred thirty-five thousand, forty".