61310526420 has 288 divisors, whose sum is σ = 203370822144. Its totient is φ = 13680576000.

The previous prime is 61310526419. The next prime is 61310526443. The reversal of 61310526420 is 2462501316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58334895 + ... + 58335945.

It is an arithmetic number, because the mean of its divisors is an integer number (706148688).

Almost surely, 2^61310526420 is an apocalyptic number.

61310526420 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 61310526420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101685411072).

61310526420 is an abundant number, since it is smaller than the sum of its proper divisors (142060295724).

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

61310526420 is a wasteful number, since it uses less digits than its factorization.

61310526420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 61310526420 in words is "sixty-one billion, three hundred ten million, five hundred twenty-six thousand, four hundred twenty".