1620132853248 has 1440 divisors, whose sum is σ = 6337801229760. Its totient is φ = 387443589120.

The previous prime is 1620132853247. The next prime is 1620132853319. The reversal of 1620132853248 is 8423582310261.

1620132853248 is a `hidden beast` number, since 1 + 62 + 0 + 13 + 2 + 8 + 532 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620132853247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3514387738 + ... + 3514388198.

It is an arithmetic number, because the mean of its divisors is an integer number (4401250854).

Almost surely, 2^{1620132853248} is an apocalyptic number.

1620132853248 is a gapful number since it is divisible by the number (18) 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 1620132853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168900614880).

1620132853248 is an abundant number, since it is smaller than the sum of its proper divisors (4717668376512).

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

1620132853248 is a wasteful number, since it uses less digits than its factorization.

1620132853248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1620132853248 in words is "one trillion, six hundred twenty billion, one hundred thirty-two million, eight hundred fifty-three thousand, two hundred forty-eight".