70201296000 has 1536 divisors, whose sum is σ = 304746624000. Its totient is φ = 15814656000.

The previous prime is 70201295993. The next prime is 70201296019. The reversal of 70201296000 is 69210207.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 888623961 + ... + 888624039.

It is an arithmetic number, because the mean of its divisors is an integer number (198402750).

Almost surely, 2^70201296000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70201296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312000).

70201296000 is an abundant number, since it is smaller than the sum of its proper divisors (234545328000).

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

70201296000 is a wasteful number, since it uses less digits than its factorization.

70201296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 70201296000 in words is "seventy billion, two hundred one million, two hundred ninety-six thousand".