70551323256960 has 4096 divisors, whose sum is σ = 338453821440000. Its totient is φ = 13470848778240.

The previous prime is 70551323256959. The next prime is 70551323256961. The reversal of 70551323256960 is 6965232315507.

70551323256960 is a `hidden beast` number, since 7 + 0 + 5 + 5 + 1 + 323 + 256 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (70551323256959) and next prime (70551323256961).

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

It is a junction number, because it is equal to n+sod(n) for n = 70551323256897 and 70551323256906.

It is not an unprimeable number, because it can be changed into a prime (70551323256961) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 92708702980 + ... + 92708703740.

It is an arithmetic number, because the mean of its divisors is an integer number (82630327500).

Almost surely, 2^{70551323256960} is an apocalyptic number.

70551323256960 is a gapful number since it is divisible by the number (70) 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 70551323256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169226910720000).

70551323256960 is an abundant number, since it is smaller than the sum of its proper divisors (267902498183040).

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

70551323256960 is a wasteful number, since it uses less digits than its factorization.

70551323256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 70551323256960 in words is "seventy trillion, five hundred fifty-one billion, three hundred twenty-three million, two hundred fifty-six thousand, nine hundred sixty".