87677041140 has 384 divisors, whose sum is σ = 297672883200. Its totient is φ = 21423467520.

The previous prime is 87677041129. The next prime is 87677041189. The reversal of 87677041140 is 4114077678.

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 127 ways as a sum of consecutive naturals, for example, 312017800 + ... + 312018080.

It is an arithmetic number, because the mean of its divisors is an integer number (775189800).

Almost surely, 2^87677041140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87677041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148836441600).

87677041140 is an abundant number, since it is smaller than the sum of its proper divisors (209995842060).

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

87677041140 is a wasteful number, since it uses less digits than its factorization.

87677041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 87677041140 in words is "eighty-seven billion, six hundred seventy-seven million, forty-one thousand, one hundred forty".