153487199761920 has 480 divisors, whose sum is σ = 577596618593280. Its totient is φ = 37524880834560.

The previous prime is 153487199761919. The next prime is 153487199761937. The reversal of 153487199761920 is 29167991784351.

153487199761920 is a `hidden beast` number, since 1 + 5 + 348 + 7 + 1 + 9 + 97 + 6 + 192 + 0 = 666.

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 (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7915407 + ... + 19225713.

It is an arithmetic number, because the mean of its divisors is an integer number (1203326288736).

It is a 1-persistent number, because it is pandigital, but 2⋅153487199761920 = 306974399523840 is not.

Almost surely, 2^{153487199761920} is an apocalyptic number.

153487199761920 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 153487199761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288798309296640).

153487199761920 is an abundant number, since it is smaller than the sum of its proper divisors (424109418831360).

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

153487199761920 is a wasteful number, since it uses less digits than its factorization.

153487199761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310386 (or 11310367 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 153487199761920 in words is "one hundred fifty-three trillion, four hundred eighty-seven billion, one hundred ninety-nine million, seven hundred sixty-one thousand, nine hundred twenty".