55784761661440 has 1152 divisors, whose sum is σ = 169347728833920. Its totient is φ = 17257363144704.

The previous prime is 55784761661353. The next prime is 55784761661479. The reversal of 55784761661440 is 4416616748755.

It is a super-2 number, since 2×55784761661440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55952619022 + ... + 55952620018.

It is an arithmetic number, because the mean of its divisors is an integer number (147003236835).

Almost surely, 2^{55784761661440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55784761661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84673864416960).

55784761661440 is an abundant number, since it is smaller than the sum of its proper divisors (113562967172480).

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

55784761661440 is a wasteful number, since it uses less digits than its factorization.

55784761661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 55784761661440 in words is "fifty-five trillion, seven hundred eighty-four billion, seven hundred sixty-one million, six hundred sixty-one thousand, four hundred forty".