86921742969600 has 864 divisors, whose sum is σ = 357875532833280. Its totient is φ = 18049941504000.

The previous prime is 86921742969571. The next prime is 86921742969661. The reversal of 86921742969600 is 696924712968.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2378727330 + ... + 2378763870.

Almost surely, 2^{86921742969600} is an apocalyptic number.

86921742969600 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 86921742969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178937766416640).

86921742969600 is an abundant number, since it is smaller than the sum of its proper divisors (270953789863680).

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

86921742969600 is a wasteful number, since it uses less digits than its factorization.

86921742969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38197 (or 38178 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 69.

The spelling of 86921742969600 in words is "eighty-six trillion, nine hundred twenty-one billion, seven hundred forty-two million, nine hundred sixty-nine thousand, six hundred".