10195986240 has 448 divisors, whose sum is σ = 39818096640. Its totient is φ = 2435328000.

The previous prime is 10195986223. The next prime is 10195986287. The reversal of 10195986240 is 4268959101.

10195986240 is a `hidden beast` number, since 1 + 0 + 19 + 5 + 9 + 8 + 624 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 6747085 + ... + 6748595.

It is an arithmetic number, because the mean of its divisors is an integer number (88879680).

Almost surely, 2^10195986240 is an apocalyptic number.

10195986240 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 10195986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19909048320).

10195986240 is an abundant number, since it is smaller than the sum of its proper divisors (29622110400).

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

10195986240 is a wasteful number, since it uses less digits than its factorization.

10195986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10195986240 in words is "ten billion, one hundred ninety-five million, nine hundred eighty-six thousand, two hundred forty".