87427333254240 has 288 divisors, whose sum is σ = 340998065291520. Its totient is φ = 19981546324992.

The previous prime is 87427333254223. The next prime is 87427333254271. The reversal of 87427333254240 is 4245233372478.

87427333254240 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 73 + 3 + 325 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110354251 + ... + 111143669.

It is an arithmetic number, because the mean of its divisors is an integer number (1184021060040).

Almost surely, 2^{87427333254240} is an apocalyptic number.

87427333254240 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 87427333254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170499032645760).

87427333254240 is an abundant number, since it is smaller than the sum of its proper divisors (253570732037280).

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

87427333254240 is a wasteful number, since it uses less digits than its factorization.

87427333254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800434 (or 800423 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 87427333254240 in words is "eighty-seven trillion, four hundred twenty-seven billion, three hundred thirty-three million, two hundred fifty-four thousand, two hundred forty".