8131721241600 has 2112 divisors, whose sum is σ = 33652719302400. Its totient is φ = 1907490816000.

The previous prime is 8131721241599. The next prime is 8131721241607. The reversal of 8131721241600 is 61421271318.

8131721241600 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 7 + 2 + 1 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×8131721241600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8131721241607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41277772702 + ... + 41277772898.

It is an arithmetic number, because the mean of its divisors is an integer number (15934052700).

Almost surely, 2^{8131721241600} is an apocalyptic number.

8131721241600 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 8131721241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826359651200).

8131721241600 is an abundant number, since it is smaller than the sum of its proper divisors (25520998060800).

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

8131721241600 is a wasteful number, since it uses less digits than its factorization.

8131721241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 8131721241600 in words is "eight trillion, one hundred thirty-one billion, seven hundred twenty-one million, two hundred forty-one thousand, six hundred".