10901427612 has 96 divisors (see below), whose sum is σ = 27094636800. Its totient is φ = 3401782272.

The previous prime is 10901427601. The next prime is 10901427617. The reversal of 10901427612 is 21672410901.

It is a happy number.

It is a super-2 number, since 2×10901427612² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10901427617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7320564 + ... + 7322052.

It is an arithmetic number, because the mean of its divisors is an integer number (282235800).

Almost surely, 2^10901427612 is an apocalyptic number.

10901427612 is a gapful number since it is divisible by the number (12) 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 10901427612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547318400).

10901427612 is an abundant number, since it is smaller than the sum of its proper divisors (16193209188).

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

10901427612 is a wasteful number, since it uses less digits than its factorization.

10901427612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10901427612 in words is "ten billion, nine hundred one million, four hundred twenty-seven thousand, six hundred twelve".