87941692800 has 576 divisors, whose sum is σ = 348881420160. Its totient is φ = 20946124800.

The previous prime is 87941692799. The next prime is 87941692807. The reversal of 87941692800 is 829614978.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87941692807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11602612 + ... + 11610188.

It is an arithmetic number, because the mean of its divisors is an integer number (605696910).

Almost surely, 2^87941692800 is an apocalyptic number.

87941692800 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 87941692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174440710080).

87941692800 is an abundant number, since it is smaller than the sum of its proper divisors (260939727360).

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

87941692800 is a wasteful number, since it uses less digits than its factorization.

87941692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 87941692800 in words is "eighty-seven billion, nine hundred forty-one million, six hundred ninety-two thousand, eight hundred".