957572162426880 has 11520 divisors, whose sum is σ = 4963427356567680. Its totient is φ = 173368619827200.

The previous prime is 957572162426879. The next prime is 957572162426981. The reversal of 957572162426880 is 88624261275759.

957572162426880 is a `hidden beast` number, since 9 + 5 + 7 + 57 + 216 + 24 + 268 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a super-2 number, since 2×957572162426880² (a number of 31 digits) contains 22 as substring.

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 = 957572162426799 and 957572162426808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 13117426882524 + ... + 13117426882596.

Almost surely, 2^{957572162426880} is an apocalyptic number.

957572162426880 is a gapful number since it is divisible by the number (90) 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 957572162426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481713678283840).

957572162426880 is an abundant number, since it is smaller than the sum of its proper divisors (4005855194140800).

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

957572162426880 is a wasteful number, since it uses less digits than its factorization.

957572162426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 957572162426880 in words is "nine hundred fifty-seven trillion, five hundred seventy-two billion, one hundred sixty-two million, four hundred twenty-six thousand, eight hundred eighty".