10507813680 has 640 divisors, whose sum is σ = 41885319168. Its totient is φ = 2120380416.

The previous prime is 10507813663. The next prime is 10507813681. The reversal of 10507813680 is 8631870501.

It is a super-2 number, since 2×10507813680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10507813681) 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, 62920957 + ... + 62921123.

Almost surely, 2^10507813680 is an apocalyptic number.

10507813680 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 10507813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20942659584).

10507813680 is an abundant number, since it is smaller than the sum of its proper divisors (31377505488).

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

10507813680 is a wasteful number, since it uses less digits than its factorization.

10507813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10507813680 in words is "ten billion, five hundred seven million, eight hundred thirteen thousand, six hundred eighty".