35487987230880 has 384 divisors, whose sum is σ = 137232325440000. Its totient is φ = 8519536852992.

The previous prime is 35487987230791. The next prime is 35487987230909. The reversal of 35487987230880 is 8803278978453.

35487987230880 is a `hidden beast` number, since 3 + 548 + 7 + 9 + 8 + 72 + 3 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35487987230799 and 35487987230808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8815755 + ... + 12193994.

It is an arithmetic number, because the mean of its divisors is an integer number (357375847500).

Almost surely, 2^{35487987230880} is an apocalyptic number.

35487987230880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35487987230880 is an abundant number, since it is smaller than the sum of its proper divisors (101744338209120).

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

35487987230880 is a wasteful number, since it uses less digits than its factorization.

35487987230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21009813 (or 21009799 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 35487987230880 in words is "thirty-five trillion, four hundred eighty-seven billion, nine hundred eighty-seven million, two hundred thirty thousand, eight hundred eighty".