87298933680 has 1280 divisors, whose sum is σ = 382146969600. Its totient is φ = 17871114240.

The previous prime is 87298933651. The next prime is 87298933739. The reversal of 87298933680 is 8633989278.

87298933680 is a `hidden beast` number, since 8 + 7 + 298 + 9 + 336 + 8 + 0 = 666.

It is a super-2 number, since 2×87298933680² (a number of 23 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 457062385 + ... + 457062575.

It is an arithmetic number, because the mean of its divisors is an integer number (298552320).

Almost surely, 2^87298933680 is an apocalyptic number.

87298933680 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 87298933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191073484800).

87298933680 is an abundant number, since it is smaller than the sum of its proper divisors (294848035920).

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

87298933680 is a wasteful number, since it uses less digits than its factorization.

87298933680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 87298933680 in words is "eighty-seven billion, two hundred ninety-eight million, nine hundred thirty-three thousand, six hundred eighty".