705155505434380 has 192 divisors, whose sum is σ = 2034480859665408. Its totient is φ = 198163719613440.

The previous prime is 705155505434377. The next prime is 705155505434441. The reversal of 705155505434380 is 83434505551507.

705155505434380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 408703707 + ... + 410425426.

It is an arithmetic number, because the mean of its divisors is an integer number (10596254477424).

Almost surely, 2^{705155505434380} is an apocalyptic number.

705155505434380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

705155505434380 is an abundant number, since it is smaller than the sum of its proper divisors (1329325354231028).

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

705155505434380 is a wasteful number, since it uses less digits than its factorization.

705155505434380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819129216 (or 819129214 counting only the distinct ones).

The product of its (nonzero) digits is 25200000, while the sum is 55.

The spelling of 705155505434380 in words is "seven hundred five trillion, one hundred fifty-five billion, five hundred five million, four hundred thirty-four thousand, three hundred eighty".