154947985920 has 960 divisors, whose sum is σ = 665336415744. Its totient is φ = 32452116480.

The previous prime is 154947985909. The next prime is 154947985939. The reversal of 154947985920 is 29589749451.

154947985920 is a `hidden beast` number, since 1 + 5 + 494 + 7 + 98 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 551416180 + ... + 551416460.

Almost surely, 2^154947985920 is an apocalyptic number.

154947985920 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 154947985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332668207872).

154947985920 is an abundant number, since it is smaller than the sum of its proper divisors (510388429824).

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

154947985920 is a wasteful number, since it uses less digits than its factorization.

154947985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 154947985920 in words is "one hundred fifty-four billion, nine hundred forty-seven million, nine hundred eighty-five thousand, nine hundred twenty".