10135361270632 has 128 divisors (see below), whose sum is σ = 21159166291200. Its totient is φ = 4522307328000.

The previous prime is 10135361270609. The next prime is 10135361270647. The reversal of 10135361270632 is 23607216353101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172926132 + ... + 172984732.

It is an arithmetic number, because the mean of its divisors is an integer number (165305986650).

Almost surely, 2^{10135361270632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135361270632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579583145600).

10135361270632 is an abundant number, since it is smaller than the sum of its proper divisors (11023805020568).

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

10135361270632 is a wasteful number, since it uses less digits than its factorization.

10135361270632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59147 (or 59143 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 10135361270632 in words is "ten trillion, one hundred thirty-five billion, three hundred sixty-one million, two hundred seventy thousand, six hundred thirty-two".