153964800000 has 1152 divisors, whose sum is σ = 629565955200. Its totient is φ = 37324800000.

The previous prime is 153964799999. The next prime is 153964800019. The reversal of 153964800000 is 8469351.

153964800000 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 648 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13996799995 + ... + 13996800005.

It is an arithmetic number, because the mean of its divisors is an integer number (546498225).

Almost surely, 2^153964800000 is an apocalyptic number.

153964800000 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 153964800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314782977600).

153964800000 is an abundant number, since it is smaller than the sum of its proper divisors (475601155200).

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

153964800000 is an frugal number, since it uses more digits than its factorization.

153964800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 153964800000 in words is "one hundred fifty-three billion, nine hundred sixty-four million, eight hundred thousand".