153656455680 has 1600 divisors, whose sum is σ = 718694000640. Its totient is φ = 30449074176.

The previous prime is 153656455669. The next prime is 153656455723. The reversal of 153656455680 is 86554656351.

153656455680 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 5 + 6 + 4 + 556 + 80 = 666.

It is a super-2 number, since 2×153656455680² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 320785681 + ... + 320786159.

Almost surely, 2^153656455680 is an apocalyptic number.

153656455680 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 153656455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359347000320).

153656455680 is an abundant number, since it is smaller than the sum of its proper divisors (565037544960).

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

153656455680 is a wasteful number, since it uses less digits than its factorization.

153656455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 153656455680 in words is "one hundred fifty-three billion, six hundred fifty-six million, four hundred fifty-five thousand, six hundred eighty".