70128944121600 has 3240 divisors, whose sum is σ = 323233435923552. Its totient is φ = 14688652492800.

The previous prime is 70128944121571. The next prime is 70128944121611. The reversal of 70128944121600 is 612144982107.

70128944121600 is a `hidden beast` number, since 7 + 0 + 1 + 28 + 9 + 4 + 4 + 12 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×70128944121600² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 359 ways as a sum of consecutive naturals, for example, 106095225270 + ... + 106095225930.

Almost surely, 2^{70128944121600} is an apocalyptic number.

70128944121600 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 70128944121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161616717961776).

70128944121600 is an abundant number, since it is smaller than the sum of its proper divisors (253104491801952).

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

70128944121600 is a wasteful number, since it uses less digits than its factorization.

70128944121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 70128944121600 in words is "seventy trillion, one hundred twenty-eight billion, nine hundred forty-four million, one hundred twenty-one thousand, six hundred".