61048905914880 has 3200 divisors, whose sum is σ = 261963963233280. Its totient is φ = 13442608005120.

The previous prime is 61048905914873. The next prime is 61048905914911. The reversal of 61048905914880 is 8841950984016.

61048905914880 is a `hidden beast` number, since 6 + 1 + 0 + 489 + 0 + 5 + 9 + 148 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 94356886717 + ... + 94356887363.

Almost surely, 2^{61048905914880} is an apocalyptic number.

61048905914880 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 61048905914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130981981616640).

61048905914880 is an abundant number, since it is smaller than the sum of its proper divisors (200915057318400).

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

61048905914880 is a wasteful number, since it uses less digits than its factorization.

61048905914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 61048905914880 in words is "sixty-one trillion, forty-eight billion, nine hundred five million, nine hundred fourteen thousand, eight hundred eighty".