273378992198400 has 2592 divisors, whose sum is σ = 1127171883382272. Its totient is φ = 65002084761600.

The previous prime is 273378992198387. The next prime is 273378992198413. The reversal of 273378992198400 is 4891299873372.

273378992198400 is a `hidden beast` number, since 2 + 7 + 3 + 37 + 89 + 9 + 21 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (273378992198387) and next prime (273378992198413).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199110700114 + ... + 199110701486.

Almost surely, 2^{273378992198400} is an apocalyptic number.

273378992198400 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 273378992198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563585941691136).

273378992198400 is an abundant number, since it is smaller than the sum of its proper divisors (853792891183872).

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

273378992198400 is a wasteful number, since it uses less digits than its factorization.

273378992198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 273378992198400 in words is "two hundred seventy-three trillion, three hundred seventy-eight billion, nine hundred ninety-two million, one hundred ninety-eight thousand, four hundred".