61842251520 has 576 divisors, whose sum is σ = 253387975680. Its totient is φ = 13989888000.

The previous prime is 61842251507. The next prime is 61842251543. The reversal of 61842251520 is 2515224816.

61842251520 is a `hidden beast` number, since 6 + 1 + 84 + 2 + 2 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 24432655 + ... + 24435185.

It is an arithmetic number, because the mean of its divisors is an integer number (439909680).

Almost surely, 2^61842251520 is an apocalyptic number.

61842251520 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 61842251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126693987840).

61842251520 is an abundant number, since it is smaller than the sum of its proper divisors (191545724160).

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

61842251520 is a wasteful number, since it uses less digits than its factorization.

61842251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 61842251520 in words is "sixty-one billion, eight hundred forty-two million, two hundred fifty-one thousand, five hundred twenty".