116517804480 has 448 divisors, whose sum is σ = 512479503360. Its totient is φ = 24211353600.

The previous prime is 116517804467. The next prime is 116517804493. The reversal of 116517804480 is 84408715611.

116517804480 is a `hidden beast` number, since 1 + 16 + 517 + 8 + 0 + 44 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (116517804467) and next prime (116517804493).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 577710 + ... + 752850.

Almost surely, 2^116517804480 is an apocalyptic number.

116517804480 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 116517804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256239751680).

116517804480 is an abundant number, since it is smaller than the sum of its proper divisors (395961698880).

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

116517804480 is a wasteful number, since it uses less digits than its factorization.

116517804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175185 (or 175169 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 116517804480 in words is "one hundred sixteen billion, five hundred seventeen million, eight hundred four thousand, four hundred eighty".