61627528581120 has 832 divisors, whose sum is σ = 221432217600000. Its totient is φ = 16259327852544.

The previous prime is 61627528581083. The next prime is 61627528581149. The reversal of 61627528581120 is 2118582572616.

61627528581120 is a `hidden beast` number, since 6 + 1 + 6 + 2 + 7 + 52 + 8 + 581 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30829177881 + ... + 30829179879.

Almost surely, 2^{61627528581120} is an apocalyptic number.

61627528581120 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 61627528581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110716108800000).

61627528581120 is an abundant number, since it is smaller than the sum of its proper divisors (159804689018880).

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

61627528581120 is a wasteful number, since it uses less digits than its factorization.

61627528581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 61627528581120 in words is "sixty-one trillion, six hundred twenty-seven billion, five hundred twenty-eight million, five hundred eighty-one thousand, one hundred twenty".