1377677235060 has 576 divisors, whose sum is σ = 5237918784000. Its totient is φ = 299165239296.

The previous prime is 1377677235017. The next prime is 1377677235091. The reversal of 1377677235060 is 605327767731.

1377677235060 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 67 + 72 + 3 + 506 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1377677234988 and 1377677235006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90670824 + ... + 90686016.

It is an arithmetic number, because the mean of its divisors is an integer number (9093609000).

Almost surely, 2^{1377677235060} is an apocalyptic number.

1377677235060 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 1377677235060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618959392000).

1377677235060 is an abundant number, since it is smaller than the sum of its proper divisors (3860241548940).

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

1377677235060 is a wasteful number, since it uses less digits than its factorization.

1377677235060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15397 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 54.

The spelling of 1377677235060 in words is "one trillion, three hundred seventy-seven billion, six hundred seventy-seven million, two hundred thirty-five thousand, sixty".