10157827680 has 1536 divisors, whose sum is σ = 49990348800. Its totient is φ = 1881169920.

The previous prime is 10157827661. The next prime is 10157827699. The reversal of 10157827680 is 8672875101.

It is a happy number.

10157827680 is a `hidden beast` number, since 1 + 0 + 1 + 578 + 2 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10157827661) and next prime (10157827699).

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 255 ways as a sum of consecutive naturals, for example, 350269906 + ... + 350269934.

It is an arithmetic number, because the mean of its divisors is an integer number (32545800).

Almost surely, 2^10157827680 is an apocalyptic number.

10157827680 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 10157827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995174400).

10157827680 is an abundant number, since it is smaller than the sum of its proper divisors (39832521120).

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

10157827680 is a wasteful number, since it uses less digits than its factorization.

10157827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10157827680 in words is "ten billion, one hundred fifty-seven million, eight hundred twenty-seven thousand, six hundred eighty".