87161990400 has 162 divisors, whose sum is σ = 311623993590. Its totient is φ = 23243182080.

The previous prime is 87161990359. The next prime is 87161990449. The reversal of 87161990400 is 409916178.

It is a happy number.

87161990400 is a `hidden beast` number, since 87 + 161 + 9 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1598720256 + 85563270144 = 39984^2 + 292512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 699015 + ... + 814214.

Almost surely, 2^87161990400 is an apocalyptic number.

87161990400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87161990400 is an abundant number, since it is smaller than the sum of its proper divisors (224462003190).

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

87161990400 is a wasteful number, since it uses less digits than its factorization.

87161990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513261 (or 1513239 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 87161990400 in words is "eighty-seven billion, one hundred sixty-one million, nine hundred ninety thousand, four hundred".