11930580480 has 640 divisors, whose sum is σ = 48154917888. Its totient is φ = 2452488192.

The previous prime is 11930580469. The next prime is 11930580499. The reversal of 11930580480 is 8408503911.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30051642 + ... + 30052038.

Almost surely, 2^11930580480 is an apocalyptic number.

11930580480 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 11930580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24077458944).

11930580480 is an abundant number, since it is smaller than the sum of its proper divisors (36224337408).

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

11930580480 is a wasteful number, since it uses less digits than its factorization.

11930580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 11930580480 in words is "eleven billion, nine hundred thirty million, five hundred eighty thousand, four hundred eighty".