10087191429120 has 1920 divisors, whose sum is σ = 40300830581760. Its totient is φ = 2407897497600.

The previous prime is 10087191429113. The next prime is 10087191429187. The reversal of 10087191429120 is 2192419178001.

10087191429120 is a `hidden beast` number, since 10 + 0 + 8 + 7 + 1 + 91 + 429 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142073118685 + ... + 142073118755.

It is an arithmetic number, because the mean of its divisors is an integer number (20990015928).

Almost surely, 2^{10087191429120} is an apocalyptic number.

10087191429120 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 10087191429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150415290880).

10087191429120 is an abundant number, since it is smaller than the sum of its proper divisors (30213639152640).

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

10087191429120 is an frugal number, since it uses more digits than its factorization.

10087191429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 10087191429120 in words is "ten trillion, eighty-seven billion, one hundred ninety-one million, four hundred twenty-nine thousand, one hundred twenty".