87933620970 has 192 divisors, whose sum is σ = 251960436000. Its totient is φ = 21144913920.

The previous prime is 87933620959. The next prime is 87933620977. The reversal of 87933620970 is 7902633978.

87933620970 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 3 + 620 + 9 + 7 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1820131569 + 86113489401 = 42663^2 + 293451^2 .

It is not an unprimeable number, because it can be changed into a prime (87933620977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10629996 + ... + 10638264.

Almost surely, 2^87933620970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87933620970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125980218000).

87933620970 is an abundant number, since it is smaller than the sum of its proper divisors (164026815030).

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

87933620970 is a wasteful number, since it uses less digits than its factorization.

87933620970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 87933620970 in words is "eighty-seven billion, nine hundred thirty-three million, six hundred twenty thousand, nine hundred seventy".