1355552876160 has 1024 divisors, whose sum is σ = 5896820736000. Its totient is φ = 287233081344.

The previous prime is 1355552876147. The next prime is 1355552876173. The reversal of 1355552876160 is 616782555531.

1355552876160 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 552 + 8 + 76 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1355552876147) and next prime (1355552876173).

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 = 1355552876097 and 1355552876106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137768521 + ... + 137778359.

It is an arithmetic number, because the mean of its divisors is an integer number (5758614000).

Almost surely, 2^{1355552876160} is an apocalyptic number.

1355552876160 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 1355552876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948410368000).

1355552876160 is an abundant number, since it is smaller than the sum of its proper divisors (4541267859840).

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

1355552876160 is a wasteful number, since it uses less digits than its factorization.

1355552876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 1355552876160 in words is "one trillion, three hundred fifty-five billion, five hundred fifty-two million, eight hundred seventy-six thousand, one hundred sixty".