1355885977600 has 1008 divisors, whose sum is σ = 4352040933696. Its totient is φ = 414253056000.

The previous prime is 1355885977583. The next prime is 1355885977627. The reversal of 1355885977600 is 67795885531.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7837491114 + ... + 7837491286.

Almost surely, 2^{1355885977600} is an apocalyptic number.

1355885977600 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 1355885977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176020466848).

1355885977600 is an abundant number, since it is smaller than the sum of its proper divisors (2996154956096).

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

1355885977600 is a wasteful number, since it uses less digits than its factorization.

1355885977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 64.

The spelling of 1355885977600 in words is "one trillion, three hundred fifty-five billion, eight hundred eighty-five million, nine hundred seventy-seven thousand, six hundred".