23197285762560 has 1920 divisors, whose sum is σ = 102490120212480. Its totient is φ = 4718587281408.

The previous prime is 23197285762513. The next prime is 23197285762621. The reversal of 23197285762560 is 6526758279132.

23197285762560 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 7 + 2 + 8 + 5 + 7 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×23197285762560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7122284452 + ... + 7122287708.

It is an arithmetic number, because the mean of its divisors is an integer number (53380270944).

Almost surely, 2^{23197285762560} is an apocalyptic number.

23197285762560 is a gapful number since it is divisible by the number (20) 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 23197285762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51245060106240).

23197285762560 is an abundant number, since it is smaller than the sum of its proper divisors (79292834449920).

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

23197285762560 is a wasteful number, since it uses less digits than its factorization.

23197285762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 23197285762560 in words is "twenty-three trillion, one hundred ninety-seven billion, two hundred eighty-five million, seven hundred sixty-two thousand, five hundred sixty".