10240633135020 has 192 divisors, whose sum is σ = 28876091811840. Its totient is φ = 2711659776000.

The previous prime is 10240633134961. The next prime is 10240633135037. The reversal of 10240633135020 is 2053133604201.

10240633135020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8332491766 + ... + 8332492994.

It is an arithmetic number, because the mean of its divisors is an integer number (150396311520).

Almost surely, 2^{10240633135020} is an apocalyptic number.

10240633135020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240633135020 is an abundant number, since it is smaller than the sum of its proper divisors (18635458676820).

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

10240633135020 is a wasteful number, since it uses less digits than its factorization.

10240633135020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 10240633135020 its reverse (2053133604201), we get a palindrome (12293766739221).

The spelling of 10240633135020 in words is "ten trillion, two hundred forty billion, six hundred thirty-three million, one hundred thirty-five thousand, twenty".