95970226751568 has 1920 divisors, whose sum is σ = 330199665868800. Its totient is φ = 25736411086848.

The previous prime is 95970226751533. The next prime is 95970226751629. The reversal of 95970226751568 is 86515762207959.

95970226751568 is a `hidden beast` number, since 9 + 5 + 9 + 7 + 0 + 2 + 2 + 6 + 7 + 51 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 95970226751496 and 95970226751505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 755671076721 + ... + 755671076847.

It is an arithmetic number, because the mean of its divisors is an integer number (171978992640).

Almost surely, 2^{95970226751568} 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 95970226751568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165099832934400).

95970226751568 is an abundant number, since it is smaller than the sum of its proper divisors (234229439117232).

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

95970226751568 is a wasteful number, since it uses less digits than its factorization.

95970226751568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 95970226751568 in words is "ninety-five trillion, nine hundred seventy billion, two hundred twenty-six million, seven hundred fifty-one thousand, five hundred sixty-eight".