153988369920 has 640 divisors, whose sum is σ = 681972065280. Its totient is φ = 31996477440.

The previous prime is 153988369877. The next prime is 153988369991. The reversal of 153988369920 is 29963889351.

153988369920 is a `hidden beast` number, since 1 + 539 + 8 + 8 + 3 + 6 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5307774 + ... + 5336706.

It is an arithmetic number, because the mean of its divisors is an integer number (1065581352).

Almost surely, 2^153988369920 is an apocalyptic number.

153988369920 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 153988369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340986032640).

153988369920 is an abundant number, since it is smaller than the sum of its proper divisors (527983695360).

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

153988369920 is a wasteful number, since it uses less digits than its factorization.

153988369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28983 (or 28961 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 153988369920 in words is "one hundred fifty-three billion, nine hundred eighty-eight million, three hundred sixty-nine thousand, nine hundred twenty".