10187971928550 has 384 divisors, whose sum is σ = 30440221701120. Its totient is φ = 2490681830400.

The previous prime is 10187971928527. The next prime is 10187971928557. The reversal of 10187971928550 is 5582917978101.

10187971928550 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 7 + 9 + 71 + 9 + 2 + 8 + 550 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187971928557) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1601627370 + ... + 1601633730.

It is an arithmetic number, because the mean of its divisors is an integer number (79271410680).

Almost surely, 2^{10187971928550} is an apocalyptic number.

10187971928550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10187971928550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15220110850560).

10187971928550 is an abundant number, since it is smaller than the sum of its proper divisors (20252249772570).

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

10187971928550 is a wasteful number, since it uses less digits than its factorization.

10187971928550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 63.

The spelling of 10187971928550 in words is "ten trillion, one hundred eighty-seven billion, nine hundred seventy-one million, nine hundred twenty-eight thousand, five hundred fifty".