153964480000 has 400 divisors, whose sum is σ = 407279378880. Its totient is φ = 58032128000.

The previous prime is 153964479947. The next prime is 153964480001. The reversal of 153964480000 is 84469351.

153964480000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×153964480000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153964480001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 436159824 + ... + 436160176.

Almost surely, 2^153964480000 is an apocalyptic number.

153964480000 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 153964480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203639689440).

153964480000 is an abundant number, since it is smaller than the sum of its proper divisors (253314898880).

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

153964480000 is an frugal number, since it uses more digits than its factorization.

153964480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 153964480000 in words is "one hundred fifty-three billion, nine hundred sixty-four million, four hundred eighty thousand".