87422301233280 has 4096 divisors, whose sum is σ = 383758663680000. Its totient is φ = 18572916031488.

The previous prime is 87422301233279. The next prime is 87422301233387. The reversal of 87422301233280 is 8233210322478.

87422301233280 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 2 + 301 + 2 + 332 + 8 + 0 = 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 511 ways as a sum of consecutive naturals, for example, 488392744231 + ... + 488392744409.

It is an arithmetic number, because the mean of its divisors is an integer number (93691080000).

Almost surely, 2^{87422301233280} is an apocalyptic number.

87422301233280 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 87422301233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191879331840000).

87422301233280 is an abundant number, since it is smaller than the sum of its proper divisors (296336362446720).

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

87422301233280 is a wasteful number, since it uses less digits than its factorization.

87422301233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 87422301233280 in words is "eighty-seven trillion, four hundred twenty-two billion, three hundred one million, two hundred thirty-three thousand, two hundred eighty".