87901264281600 has 6480 divisors, whose sum is σ = 451971139745664. Its totient is φ = 16443349401600.

The previous prime is 87901264281491. The next prime is 87901264281619. The reversal of 87901264281600 is 618246210978.

It is a happy number.

87901264281600 is a `hidden beast` number, since 8 + 7 + 9 + 0 + 1 + 2 + 6 + 4 + 28 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3821794099189 + ... + 3821794099211.

Almost surely, 2^{87901264281600} is an apocalyptic number.

87901264281600 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 87901264281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225985569872832).

87901264281600 is an abundant number, since it is smaller than the sum of its proper divisors (364069875464064).

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

87901264281600 is a wasteful number, since it uses less digits than its factorization.

87901264281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 87901264281600 in words is "eighty-seven trillion, nine hundred one billion, two hundred sixty-four million, two hundred eighty-one thousand, six hundred".