10951479616 has 420 divisors, whose sum is σ = 30279482240. Its totient is φ = 3911846400.

The previous prime is 10951479613. The next prime is 10951479631. The reversal of 10951479616 is 61697415901.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 10951479616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10951479613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 353273521 + ... + 353273551.

Almost surely, 2^10951479616 is an apocalyptic number.

10951479616 is a gapful number since it is divisible by the number (16) 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 10951479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139741120).

10951479616 is an abundant number, since it is smaller than the sum of its proper divisors (19328002624).

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

10951479616 is an equidigital number, since it uses as much as digits as its factorization.

10951479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

The spelling of 10951479616 in words is "ten billion, nine hundred fifty-one million, four hundred seventy-nine thousand, six hundred sixteen".