11929956480 has 512 divisors, whose sum is σ = 47500992000. Its totient is φ = 2807709696.

The previous prime is 11929956473. The next prime is 11929956487. The reversal of 11929956480 is 8465992911.

It is an interprime number because it is at equal distance from previous prime (11929956473) and next prime (11929956487).

It is a super-2 number, since 2×11929956480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11929956487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5165566 + ... + 5167874.

It is an arithmetic number, because the mean of its divisors is an integer number (92775375).

Almost surely, 2^11929956480 is an apocalyptic number.

11929956480 is a gapful number since it is divisible by the number (10) 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 11929956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23750496000).

11929956480 is an abundant number, since it is smaller than the sum of its proper divisors (35571035520).

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

11929956480 is a wasteful number, since it uses less digits than its factorization.

11929956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11929956480 in words is "eleven billion, nine hundred twenty-nine million, nine hundred fifty-six thousand, four hundred eighty".