70109319168000 has 2304 divisors, whose sum is σ = 302265796014000. Its totient is φ = 15577015910400.

The previous prime is 70109319167959. The next prime is 70109319168107. The reversal of 70109319168000 is 86191390107.

70109319168000 is a `hidden beast` number, since 70 + 109 + 319 + 168 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25347438821376 + 44761880346624 = 5034624^2 + 6690432^2 .

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66834431476 + ... + 66834432524.

Almost surely, 2^{70109319168000} is an apocalyptic number.

70109319168000 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 70109319168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151132898007000).

70109319168000 is an abundant number, since it is smaller than the sum of its proper divisors (232156476846000).

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

70109319168000 is a wasteful number, since it uses less digits than its factorization.

70109319168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 70109319168000 in words is "seventy trillion, one hundred nine billion, three hundred nineteen million, one hundred sixty-eight thousand".