87918747840 has 2240 divisors, whose sum is σ = 424866816000. Its totient is φ = 17069875200.

The previous prime is 87918747797. The next prime is 87918747863. The reversal of 87918747840 is 4874781978.

87918747840 is a `hidden beast` number, since 87 + 9 + 1 + 87 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2836088625 + ... + 2836088655.

Almost surely, 2^87918747840 is an apocalyptic number.

87918747840 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 87918747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212433408000).

87918747840 is an abundant number, since it is smaller than the sum of its proper divisors (336948068160).

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

87918747840 is a wasteful number, since it uses less digits than its factorization.

87918747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 87918747840 in words is "eighty-seven billion, nine hundred eighteen million, seven hundred forty-seven thousand, eight hundred forty".