61575387497280 has 168 divisors, whose sum is σ = 213017919207912. Its totient is φ = 16325189308416.

The previous prime is 61575387497237. The next prime is 61575387497287. The reversal of 61575387497280 is 8279478357516.

61575387497280 is a `hidden beast` number, since 6 + 1 + 5 + 7 + 53 + 8 + 7 + 497 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20475697400064 + 41099690097216 = 4525008^2 + 6410904^2 .

It is a super-2 number, since 2×61575387497280² (a number of 28 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 = 61575387497199 and 61575387497208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61575387497287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61294659 + ... + 62291138.

It is an arithmetic number, because the mean of its divisors is an integer number (1267963804809).

It is a 1-persistent number, because it is pandigital, but 2⋅61575387497280 = 123150774994560 is not.

Almost surely, 2^{61575387497280} is an apocalyptic number.

61575387497280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61575387497280 is an abundant number, since it is smaller than the sum of its proper divisors (151442531710632).

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

61575387497280 is a wasteful number, since it uses less digits than its factorization.

61575387497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123585993 (or 123585980 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 61575387497280 in words is "sixty-one trillion, five hundred seventy-five billion, three hundred eighty-seven million, four hundred ninety-seven thousand, two hundred eighty".