10071855360 has 1152 divisors, whose sum is σ = 45210009600. Its totient is φ = 2070282240.

The previous prime is 10071855317. The next prime is 10071855361. The reversal of 10071855360 is 6355817001.

10071855360 is a `hidden beast` number, since 100 + 7 + 18 + 5 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (10071855361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127491801 + ... + 127491879.

It is an arithmetic number, because the mean of its divisors is an integer number (39244800).

Almost surely, 2^10071855360 is an apocalyptic number.

10071855360 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 10071855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22605004800).

10071855360 is an abundant number, since it is smaller than the sum of its proper divisors (35138154240).

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

10071855360 is a wasteful number, since it uses less digits than its factorization.

10071855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10071855360 in words is "ten billion, seventy-one million, eight hundred fifty-five thousand, three hundred sixty".