8100408757000 has 512 divisors, whose sum is σ = 23389876224000. Its totient is φ = 2563689139200.

The previous prime is 8100408756989. The next prime is 8100408757009. The reversal of 8100408757000 is 7578040018.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8100408757009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2739399522 + ... + 2739402478.

It is an arithmetic number, because the mean of its divisors is an integer number (45683352000).

Almost surely, 2^{8100408757000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100408757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694938112000).

8100408757000 is an abundant number, since it is smaller than the sum of its proper divisors (15289467467000).

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

8100408757000 is a wasteful number, since it uses less digits than its factorization.

8100408757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 8100408757000 in words is "eight trillion, one hundred billion, four hundred eight million, seven hundred fifty-seven thousand".