11758420464 has 200 divisors, whose sum is σ = 36973050240. Its totient is φ = 3154381824.

The previous prime is 11758420423. The next prime is 11758420493. The reversal of 11758420464 is 46402485711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28062847 + ... + 28063265.

Almost surely, 2^11758420464 is an apocalyptic number.

11758420464 is a gapful number since it is divisible by the number (14) 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 11758420464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486525120).

11758420464 is an abundant number, since it is smaller than the sum of its proper divisors (25214629776).

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

11758420464 is an frugal number, since it uses more digits than its factorization.

11758420464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 11758420464 in words is "eleven billion, seven hundred fifty-eight million, four hundred twenty thousand, four hundred sixty-four".