87788460441600 has 1680 divisors, whose sum is σ = 362484501013800. Its totient is φ = 20873541058560.

The previous prime is 87788460441557. The next prime is 87788460441653. The reversal of 87788460441600 is 614406488778.

87788460441600 is a `hidden beast` number, since 8 + 7 + 7 + 8 + 8 + 4 + 604 + 4 + 16 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4620445286391 + ... + 4620445286409.

Almost surely, 2^{87788460441600} is an apocalyptic number.

87788460441600 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 87788460441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181242250506900).

87788460441600 is an abundant number, since it is smaller than the sum of its proper divisors (274696040572200).

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

87788460441600 is an frugal number, since it uses more digits than its factorization.

87788460441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 87788460441600 in words is "eighty-seven trillion, seven hundred eighty-eight billion, four hundred sixty million, four hundred forty-one thousand, six hundred".