10187987990400 has 1728 divisors, whose sum is σ = 42401661120000. Its totient is φ = 2309470617600.

The previous prime is 10187987990399. The next prime is 10187987990419. The reversal of 10187987990400 is 409978978101.

It is a happy number.

10187987990400 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 79 + 8 + 79 + 90 + 400 = 666.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 20416809351 + ... + 20416809849.

Almost surely, 2^{10187987990400} is an apocalyptic number.

10187987990400 is a gapful number since it is divisible by the number (10) 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 10187987990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200830560000).

10187987990400 is an abundant number, since it is smaller than the sum of its proper divisors (32213673129600).

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

10187987990400 is a wasteful number, since it uses less digits than its factorization.

10187987990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 10187987990400 in words is "ten trillion, one hundred eighty-seven billion, nine hundred eighty-seven million, nine hundred ninety thousand, four hundred".