87967838700 has 360 divisors, whose sum is σ = 329141787744. Its totient is φ = 19906560000.

The previous prime is 87967838683. The next prime is 87967838719. The reversal of 87967838700 is 783876978.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5719020 + ... + 5734380.

Almost surely, 2^87967838700 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 87967838700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164570893872).

87967838700 is an abundant number, since it is smaller than the sum of its proper divisors (241173949044).

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

87967838700 is a wasteful number, since it uses less digits than its factorization.

87967838700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15495 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 87967838700 in words is "eighty-seven billion, nine hundred sixty-seven million, eight hundred thirty-eight thousand, seven hundred".