264121880400 has 1440 divisors, whose sum is σ = 1200431381760. Its totient is φ = 52314439680.

The previous prime is 264121880387. The next prime is 264121880411. The reversal of 264121880400 is 4088121462.

264121880400 is a `hidden beast` number, since 2 + 64 + 12 + 188 + 0 + 400 = 666.

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 287 ways as a sum of consecutive naturals, for example, 301164762 + ... + 301165638.

It is an arithmetic number, because the mean of its divisors is an integer number (833632904).

Almost surely, 2^264121880400 is an apocalyptic number.

264121880400 is a gapful number since it is divisible by the number (20) 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 264121880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600215690880).

264121880400 is an abundant number, since it is smaller than the sum of its proper divisors (936309501360).

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

264121880400 is a wasteful number, since it uses less digits than its factorization.

264121880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 264121880400 in words is "two hundred sixty-four billion, one hundred twenty-one million, eight hundred eighty thousand, four hundred".