153866401920 has 1728 divisors, whose sum is σ = 722404163520. Its totient is φ = 29312409600.

The previous prime is 153866401907. The next prime is 153866401933. The reversal of 153866401920 is 29104668351.

153866401920 is a `hidden beast` number, since 1 + 538 + 66 + 40 + 19 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (153866401907) and next prime (153866401933).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 4963432305 + ... + 4963432335.

It is an arithmetic number, because the mean of its divisors is an integer number (418057965).

Almost surely, 2^153866401920 is an apocalyptic number.

153866401920 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 153866401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361202081760).

153866401920 is an abundant number, since it is smaller than the sum of its proper divisors (568537761600).

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

153866401920 is a wasteful number, since it uses less digits than its factorization.

153866401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 153866401920 in words is "one hundred fifty-three billion, eight hundred sixty-six million, four hundred one thousand, nine hundred twenty".