1970715225600 has 1440 divisors, whose sum is σ = 8045380062720. Its totient is φ = 473776128000.

The previous prime is 1970715225587. The next prime is 1970715225623. The reversal of 1970715225600 is 65225170791.

1970715225600 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 7 + 15 + 2 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 8177241480 + ... + 8177241720.

It is an arithmetic number, because the mean of its divisors is an integer number (5587069488).

Almost surely, 2^{1970715225600} is an apocalyptic number.

1970715225600 is a gapful number since it is divisible by the number (10) 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 1970715225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022690031360).

1970715225600 is an abundant number, since it is smaller than the sum of its proper divisors (6074664837120).

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

1970715225600 is a wasteful number, since it uses less digits than its factorization.

1970715225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 1970715225600 in words is "one trillion, nine hundred seventy billion, seven hundred fifteen million, two hundred twenty-five thousand, six hundred".