8280105742080 has 360 divisors, whose sum is σ = 29728960142112. Its totient is φ = 2200484192256.

The previous prime is 8280105742057. The next prime is 8280105742127. The reversal of 8280105742080 is 802475010828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×8280105742080² (a number of 27 digits) contains 22 as substring.

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

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, 30241957 + ... + 30514523.

Almost surely, 2^{8280105742080} is an apocalyptic number.

8280105742080 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 8280105742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864480071056).

8280105742080 is an abundant number, since it is smaller than the sum of its proper divisors (21448854400032).

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

8280105742080 is a wasteful number, since it uses less digits than its factorization.

8280105742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272893 (or 272870 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 8280105742080 in words is "eight trillion, two hundred eighty billion, one hundred five million, seven hundred forty-two thousand, eighty".