987067166400 has 1176 divisors, whose sum is σ = 4242139673184. Its totient is φ = 221261414400.

The previous prime is 987067166399. The next prime is 987067166429. The reversal of 987067166400 is 4661760789.

It is a happy number.

987067166400 is a `hidden beast` number, since 9 + 8 + 70 + 6 + 7 + 166 + 400 = 666.

987067166400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×987067166400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 432733260 + ... + 432735540.

Almost surely, 2^987067166400 is an apocalyptic number.

987067166400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987067166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121069836592).

987067166400 is an abundant number, since it is smaller than the sum of its proper divisors (3255072506784).

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

987067166400 is a wasteful number, since it uses less digits than its factorization.

987067166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 987067166400 in words is "nine hundred eighty-seven billion, sixty-seven million, one hundred sixty-six thousand, four hundred".