91878786900 has 54 divisors (see below), whose sum is σ = 287988955982. Its totient is φ = 24501009600.

The previous prime is 91878786893. The next prime is 91878786907. The reversal of 91878786900 is 968787819.

It is an interprime number because it is at equal distance from previous prime (91878786893) and next prime (91878786907).

It can be written as a sum of positive squares in 3 ways, for example, as 3648401604 + 88230385296 = 60402^2 + 297036^2 .

It is a super-2 number, since 2×91878786900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91878786907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51042871 + ... + 51044670.

Almost surely, 2^91878786900 is an apocalyptic number.

91878786900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91878786900 is an abundant number, since it is smaller than the sum of its proper divisors (196110169082).

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

91878786900 is a wasteful number, since it uses less digits than its factorization.

91878786900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102087561 (or 102087551 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 91878786900 in words is "ninety-one billion, eight hundred seventy-eight million, seven hundred eighty-six thousand, nine hundred".