1377511636020 has 192 divisors, whose sum is σ = 4188432568320. Its totient is φ = 336251953152.

The previous prime is 1377511635947. The next prime is 1377511636031. The reversal of 1377511636020 is 206361157731.

It is a super-2 number, since 2×1377511636020² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 110380141 + ... + 110392619.

It is an arithmetic number, because the mean of its divisors is an integer number (21814752960).

Almost surely, 2^{1377511636020} is an apocalyptic number.

1377511636020 is a gapful number since it is divisible by the number (10) 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 1377511636020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094216284160).

1377511636020 is an abundant number, since it is smaller than the sum of its proper divisors (2810920932300).

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

1377511636020 is a wasteful number, since it uses less digits than its factorization.

1377511636020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

It can be divided in two parts, 137751 and 1636020, that added together give a palindrome (1773771).

The spelling of 1377511636020 in words is "one trillion, three hundred seventy-seven billion, five hundred eleven million, six hundred thirty-six thousand, twenty".