70041153600 has 1176 divisors, whose sum is σ = 289997278272. Its totient is φ = 16497561600.

The previous prime is 70041153593. The next prime is 70041153607. The reversal of 70041153600 is 635114007.

70041153600 is a `hidden beast` number, since 7 + 0 + 0 + 4 + 1 + 1 + 53 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (70041153593) and next prime (70041153607).

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

It is not an unprimeable number, because it can be changed into a prime (70041153607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 680011149 + ... + 680011251.

Almost surely, 2^70041153600 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 70041153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144998639136).

70041153600 is an abundant number, since it is smaller than the sum of its proper divisors (219956124672).

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

70041153600 is a wasteful number, since it uses less digits than its factorization.

70041153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 70041153600 its reverse (635114007), we get a palindrome (70676267607).

The spelling of 70041153600 in words is "seventy billion, forty-one million, one hundred fifty-three thousand, six hundred".