55577402161344 has 280 divisors, whose sum is σ = 188615352166560. Its totient is φ = 15851344564224.

The previous prime is 55577402161321. The next prime is 55577402161367. The reversal of 55577402161344 is 44316120477555.

55577402161344 is a `hidden beast` number, since 5 + 5 + 5 + 77 + 402 + 161 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55577402161321) and next prime (55577402161367).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19302034 + ... + 21993710.

Almost surely, 2^{55577402161344} is an apocalyptic number.

55577402161344 is a gapful number since it is divisible by the number (54) 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 55577402161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94307676083280).

55577402161344 is an abundant number, since it is smaller than the sum of its proper divisors (133037950005216).

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

55577402161344 is a wasteful number, since it uses less digits than its factorization.

55577402161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692277 (or 2692258 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 55577402161344 in words is "fifty-five trillion, five hundred seventy-seven billion, four hundred two million, one hundred sixty-one thousand, three hundred forty-four".