10075360500 has 384 divisors, whose sum is σ = 33902668800. Its totient is φ = 2581632000.

The previous prime is 10075360453. The next prime is 10075360513. The reversal of 10075360500 is 506357001.

10075360500 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 53 + 605 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60331417 + ... + 60331583.

It is an arithmetic number, because the mean of its divisors is an integer number (88288200).

Almost surely, 2^10075360500 is an apocalyptic number.

10075360500 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 10075360500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951334400).

10075360500 is an abundant number, since it is smaller than the sum of its proper divisors (23827308300).

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

10075360500 is a wasteful number, since it uses less digits than its factorization.

10075360500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 10075360500 in words is "ten billion, seventy-five million, three hundred sixty thousand, five hundred".