61283852916480 has 576 divisors, whose sum is σ = 219628028928000. Its totient is φ = 16180605370368.

The previous prime is 61283852916469. The next prime is 61283852916541. The reversal of 61283852916480 is 8461925838216.

61283852916480 is a `hidden beast` number, since 6 + 1 + 28 + 3 + 8 + 529 + 1 + 6 + 4 + 80 = 666.

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

It is a congruent number.

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, 5948151009 + ... + 5948161311.

Almost surely, 2^{61283852916480} is an apocalyptic number.

61283852916480 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 61283852916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109814014464000).

61283852916480 is an abundant number, since it is smaller than the sum of its proper divisors (158344176011520).

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

61283852916480 is a wasteful number, since it uses less digits than its factorization.

61283852916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12021 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 61283852916480 in words is "sixty-one trillion, two hundred eighty-three billion, eight hundred fifty-two million, nine hundred sixteen thousand, four hundred eighty".