61859854980 has 576 divisors, whose sum is σ = 245415260160. Its totient is φ = 12791520000.

The previous prime is 61859854951. The next prime is 61859855009. The reversal of 61859854980 is 8945895816.

61859854980 is a `hidden beast` number, since 6 + 1 + 8 + 5 + 9 + 8 + 549 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (61859854951) and next prime (61859855009).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82369605 + ... + 82370355.

It is an arithmetic number, because the mean of its divisors is an integer number (426068160).

Almost surely, 2^61859854980 is an apocalyptic number.

61859854980 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 61859854980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122707630080).

61859854980 is an abundant number, since it is smaller than the sum of its proper divisors (183555405180).

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

61859854980 is a wasteful number, since it uses less digits than its factorization.

61859854980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 61859854980 in words is "sixty-one billion, eight hundred fifty-nine million, eight hundred fifty-four thousand, nine hundred eighty".