1977705585504 has 144 divisors (see below), whose sum is σ = 6135898728960. Its totient is φ = 599254260480.

The previous prime is 1977705585503. The next prime is 1977705585523. The reversal of 1977705585504 is 4055855077791.

It is a happy number.

1977705585504 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 70 + 5 + 5 + 8 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1977705585504² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977705585503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57409117 + ... + 57443555.

It is an arithmetic number, because the mean of its divisors is an integer number (42610407840).

Almost surely, 2^{1977705585504} is an apocalyptic number.

It is an amenable number.

1977705585504 is an abundant number, since it is smaller than the sum of its proper divisors (4158193143456).

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

1977705585504 is a wasteful number, since it uses less digits than its factorization.

1977705585504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52593 (or 52582 counting only the distinct ones).

The product of its (nonzero) digits is 61740000, while the sum is 63.

The spelling of 1977705585504 in words is "one trillion, nine hundred seventy-seven billion, seven hundred five million, five hundred eighty-five thousand, five hundred four".