1353660000 has 480 divisors, whose sum is σ = 5554821888. Its totient is φ = 280320000.

The previous prime is 1353659987. The next prime is 1353660029. The reversal of 1353660000 is 663531.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4619854 + ... + 4620146.

Almost surely, 2^1353660000 is an apocalyptic number.

1353660000 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 1353660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777410944).

1353660000 is an abundant number, since it is smaller than the sum of its proper divisors (4201161888).

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

1353660000 is a wasteful number, since it uses less digits than its factorization.

1353660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1353660000 is about 36792.1187212696. The cubic root of 1353660000 is about 1106.2073302192.

It can be divided in two parts, 13536 and 60000, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 1353660000 in words is "one billion, three hundred fifty-three million, six hundred sixty thousand".