8100855152640 has 800 divisors, whose sum is σ = 29348305628400. Its totient is φ = 2146468626432.

The previous prime is 8100855152609. The next prime is 8100855152651. The reversal of 8100855152640 is 462515580018.

8100855152640 is a `hidden beast` number, since 8 + 1 + 0 + 0 + 8 + 551 + 52 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51597803442 + ... + 51597803598.

Almost surely, 2^{8100855152640} is an apocalyptic number.

8100855152640 is a gapful number since it is divisible by the number (80) 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 8100855152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674152814200).

8100855152640 is an abundant number, since it is smaller than the sum of its proper divisors (21247450475760).

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

8100855152640 is an frugal number, since it uses more digits than its factorization.

8100855152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 8100855152640 in words is "eight trillion, one hundred billion, eight hundred fifty-five million, one hundred fifty-two thousand, six hundred forty".