10049188160 has 448 divisors, whose sum is σ = 29354434560. Its totient is φ = 3234816000.

The previous prime is 10049188159. The next prime is 10049188169. The reversal of 10049188160 is 6188194001.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049188169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76711295 + ... + 76711425.

Almost surely, 2^10049188160 is an apocalyptic number.

10049188160 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 10049188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677217280).

10049188160 is an abundant number, since it is smaller than the sum of its proper divisors (19305246400).

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

10049188160 is a wasteful number, since it uses less digits than its factorization.

10049188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The spelling of 10049188160 in words is "ten billion, forty-nine million, one hundred eighty-eight thousand, one hundred sixty".