10294013952 has 520 divisors, whose sum is σ = 34252796160. Its totient is φ = 3065610240.

The previous prime is 10294013923. The next prime is 10294013957. The reversal of 10294013952 is 25931049201.

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 (10294013957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144986077 + ... + 144986147.

Almost surely, 2^10294013952 is an apocalyptic number.

10294013952 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 10294013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126398080).

10294013952 is an abundant number, since it is smaller than the sum of its proper divisors (23958782208).

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

10294013952 is an equidigital number, since it uses as much as digits as its factorization.

10294013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10294013952 in words is "ten billion, two hundred ninety-four million, thirteen thousand, nine hundred fifty-two".