10291772712 has 128 divisors (see below), whose sum is σ = 29213251200. Its totient is φ = 2995273728.

The previous prime is 10291772641. The next prime is 10291772737. The reversal of 10291772712 is 21727719201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 5790768 + ... + 5792544.

It is an arithmetic number, because the mean of its divisors is an integer number (228228525).

Almost surely, 2^10291772712 is an apocalyptic number.

10291772712 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 10291772712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606625600).

10291772712 is an abundant number, since it is smaller than the sum of its proper divisors (18921478488).

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

10291772712 is a wasteful number, since it uses less digits than its factorization.

10291772712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 39.

The spelling of 10291772712 in words is "ten billion, two hundred ninety-one million, seven hundred seventy-two thousand, seven hundred twelve".