10470961152 has 208 divisors, whose sum is σ = 31470477280. Its totient is φ = 3439853568.

The previous prime is 10470961133. The next prime is 10470961153. The reversal of 10470961152 is 25116907401.

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 (10470961153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8072568 + ... + 8073864.

Almost surely, 2^10470961152 is an apocalyptic number.

10470961152 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 10470961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735238640).

10470961152 is an abundant number, since it is smaller than the sum of its proper divisors (20999516128).

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

10470961152 is an equidigital number, since it uses as much as digits as its factorization.

10470961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10470961152 in words is "ten billion, four hundred seventy million, nine hundred sixty-one thousand, one hundred fifty-two".