61526280775680 has 1920 divisors, whose sum is σ = 256179635712000. Its totient is φ = 13833944432640.

The previous prime is 61526280775637. The next prime is 61526280775691. The reversal of 61526280775680 is 8657708262516.

61526280775680 is a `hidden beast` number, since 6 + 1 + 5 + 2 + 62 + 8 + 0 + 7 + 7 + 568 + 0 = 666.

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

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

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 159 ways as a sum of consecutive naturals, for example, 120876779266 + ... + 120876779774.

It is an arithmetic number, because the mean of its divisors is an integer number (133426893600).

Almost surely, 2^{61526280775680} is an apocalyptic number.

61526280775680 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 61526280775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128089817856000).

61526280775680 is an abundant number, since it is smaller than the sum of its proper divisors (194653354936320).

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

61526280775680 is a wasteful number, since it uses less digits than its factorization.

61526280775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 61526280775680 in words is "sixty-one trillion, five hundred twenty-six billion, two hundred eighty million, seven hundred seventy-five thousand, six hundred eighty".