87829906203 has 64 divisors (see below), whose sum is σ = 142662912000. Its totient is φ = 53394984864.

The previous prime is 87829906201. The next prime is 87829906249. The reversal of 87829906203 is 30260992878.

It is a happy number.

87829906203 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 9 + 9 + 0 + 620 + 3 = 666.

It is not a de Polignac number, because 87829906203 - 2¹ = 87829906201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87829906203.

It is not an unprimeable number, because it can be changed into a prime (87829906201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4914558 + ... + 4932396.

It is an arithmetic number, because the mean of its divisors is an integer number (2229108000).

Almost surely, 2^87829906203 is an apocalyptic number.

87829906203 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

87829906203 is a deficient number, since it is larger than the sum of its proper divisors (54833005797).

87829906203 is a wasteful number, since it uses less digits than its factorization.

87829906203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17970 (or 17938 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 87829906203 in words is "eighty-seven billion, eight hundred twenty-nine million, nine hundred six thousand, two hundred three".