61957197881280 has 896 divisors, whose sum is σ = 251436993696000. Its totient is φ = 14226809683968.

The previous prime is 61957197881251. The next prime is 61957197881287. The reversal of 61957197881280 is 8218879175916.

61957197881280 is a `hidden beast` number, since 6 + 195 + 7 + 19 + 78 + 81 + 280 = 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 = 61957197881199 and 61957197881208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61957197881287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215623146 + ... + 215910294.

It is an arithmetic number, because the mean of its divisors is an integer number (280621644750).

Almost surely, 2^{61957197881280} is an apocalyptic number.

61957197881280 is a gapful number since it is divisible by the number (60) 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 61957197881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718496848000).

61957197881280 is an abundant number, since it is smaller than the sum of its proper divisors (189479795814720).

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

61957197881280 is a wasteful number, since it uses less digits than its factorization.

61957197881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287318 (or 287302 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 72.

The spelling of 61957197881280 in words is "sixty-one trillion, nine hundred fifty-seven billion, one hundred ninety-seven million, eight hundred eighty-one thousand, two hundred eighty".