10538700480 has 1344 divisors, whose sum is σ = 49368821760. Its totient is φ = 2090188800.

The previous prime is 10538700467. The next prime is 10538700481. The reversal of 10538700480 is 8400783501.

10538700480 is a `hidden beast` number, since 10 + 538 + 70 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10538700480² (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 not an unprimeable number, because it can be changed into a prime (10538700481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144365724 + ... + 144365796.

Almost surely, 2^10538700480 is an apocalyptic number.

10538700480 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 10538700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684410880).

10538700480 is an abundant number, since it is smaller than the sum of its proper divisors (38830121280).

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

10538700480 is a wasteful number, since it uses less digits than its factorization.

10538700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10538700480 in words is "ten billion, five hundred thirty-eight million, seven hundred thousand, four hundred eighty".