10053261540 has 480 divisors, whose sum is σ = 37673475840. Its totient is φ = 2196440064.

The previous prime is 10053261499. The next prime is 10053261553. The reversal of 10053261540 is 4516235001.

10053261540 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 2 + 615 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25843666 + ... + 25844054.

It is an arithmetic number, because the mean of its divisors is an integer number (78486408).

Almost surely, 2^10053261540 is an apocalyptic number.

10053261540 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 10053261540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18836737920).

10053261540 is an abundant number, since it is smaller than the sum of its proper divisors (27620214300).

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

10053261540 is a wasteful number, since it uses less digits than its factorization.

10053261540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10053261540 its reverse (4516235001), we get a palindrome (14569496541).

The spelling of 10053261540 in words is "ten billion, fifty-three million, two hundred sixty-one thousand, five hundred forty".