61282004544 has 112 divisors (see below), whose sum is σ = 180347112000. Its totient is φ = 20405864448.

The previous prime is 61282004503. The next prime is 61282004573. The reversal of 61282004544 is 44540028216.

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

It is a junction number, because it is equal to n+sod(n) for n = 61282004499 and 61282004508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1670107 + ... + 1706405.

Almost surely, 2^61282004544 is an apocalyptic number.

61282004544 is a gapful number since it is divisible by the number (64) 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 61282004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90173556000).

61282004544 is an abundant number, since it is smaller than the sum of its proper divisors (119065107456).

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

61282004544 is a wasteful number, since it uses less digits than its factorization.

61282004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37297 (or 37281 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 61282004544 in words is "sixty-one billion, two hundred eighty-two million, four thousand, five hundred forty-four".