70206194951200 has 1296 divisors, whose sum is σ = 235323816561792. Its totient is φ = 20303517696000.

The previous prime is 70206194951159. The next prime is 70206194951237. The reversal of 70206194951200 is 215949160207.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5725036269 + ... + 5725048531.

It is an arithmetic number, because the mean of its divisors is an integer number (181577018952).

Almost surely, 2^{70206194951200} is an apocalyptic number.

70206194951200 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 70206194951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117661908280896).

70206194951200 is an abundant number, since it is smaller than the sum of its proper divisors (165117621610592).

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

70206194951200 is a wasteful number, since it uses less digits than its factorization.

70206194951200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12407 (or 12376 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 70206194951200 in words is "seventy trillion, two hundred six billion, one hundred ninety-four million, nine hundred fifty-one thousand, two hundred".