10157771520 has 576 divisors, whose sum is σ = 40547727360. Its totient is φ = 2389229568.

The previous prime is 10157771513. The next prime is 10157771537. The reversal of 10157771520 is 2517775101.

10157771520 is a `hidden beast` number, since 10 + 1 + 57 + 7 + 71 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10157771520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10332949 + ... + 10333931.

It is an arithmetic number, because the mean of its divisors is an integer number (70395360).

Almost surely, 2^10157771520 is an apocalyptic number.

10157771520 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 10157771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273863680).

10157771520 is an abundant number, since it is smaller than the sum of its proper divisors (30389955840).

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

10157771520 is a wasteful number, since it uses less digits than its factorization.

10157771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 36.

The spelling of 10157771520 in words is "ten billion, one hundred fifty-seven million, seven hundred seventy-one thousand, five hundred twenty".