149680278820800 has 3024 divisors, whose sum is σ = 712484723059200. Its totient is φ = 30205676666880.

The previous prime is 149680278820769. The next prime is 149680278820801. The reversal of 149680278820800 is 8028872086941.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149680278820801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10578852126 + ... + 10578866274.

Almost surely, 2^{149680278820800} is an apocalyptic number.

149680278820800 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 149680278820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356242361529600).

149680278820800 is an abundant number, since it is smaller than the sum of its proper divisors (562804444238400).

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

149680278820800 is a wasteful number, since it uses less digits than its factorization.

149680278820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14242 (or 14202 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 149680278820800 in words is "one hundred forty-nine trillion, six hundred eighty billion, two hundred seventy-eight million, eight hundred twenty thousand, eight hundred".