61772265020520 has 96 divisors (see below), whose sum is σ = 203509996489800. Its totient is φ = 16246951888896.

The previous prime is 61772265020519. The next prime is 61772265020527. The reversal of 61772265020520 is 2502056227716.

61772265020520 is a `hidden beast` number, since 6 + 1 + 7 + 72 + 2 + 6 + 50 + 2 + 0 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58746982256964 + 3025282763556 = 7664658^2 + 1739334^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61772265020527) 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, 1175245125 + ... + 1175297684.

Almost surely, 2^{61772265020520} is an apocalyptic number.

61772265020520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61772265020520 is an abundant number, since it is smaller than the sum of its proper divisors (141737731469280).

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

61772265020520 is a wasteful number, since it uses less digits than its factorization.

61772265020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350542899 (or 2350542892 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 61772265020520 in words is "sixty-one trillion, seven hundred seventy-two billion, two hundred sixty-five million, twenty thousand, five hundred twenty".