1377086587968 has 448 divisors, whose sum is σ = 4733865543680. Its totient is φ = 344042588160.

The previous prime is 1377086587951. The next prime is 1377086588023. The reversal of 1377086587968 is 8697856807731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1377086587968² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1377086587968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119834703 + ... + 119846193.

It is an arithmetic number, because the mean of its divisors is an integer number (10566664160).

Almost surely, 2^{1377086587968} 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 1377086587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366932771840).

1377086587968 is an abundant number, since it is smaller than the sum of its proper divisors (3356778955712).

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

1377086587968 is a wasteful number, since it uses less digits than its factorization.

1377086587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 75.

The spelling of 1377086587968 in words is "one trillion, three hundred seventy-seven billion, eighty-six million, five hundred eighty-seven thousand, nine hundred sixty-eight".