273721535126400 has 768 divisors, whose sum is σ = 963149854464000. Its totient is φ = 68125910261760.

The previous prime is 273721535126399. The next prime is 273721535126401. The reversal of 273721535126400 is 4621535127372.

It is an interprime number because it is at equal distance from previous prime (273721535126399) and next prime (273721535126401).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 273721535126400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273721535126401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5434947619 + ... + 5434997981.

It is an arithmetic number, because the mean of its divisors is an integer number (1254101373000).

Almost surely, 2^{273721535126400} is an apocalyptic number.

273721535126400 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 273721535126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481574927232000).

273721535126400 is an abundant number, since it is smaller than the sum of its proper divisors (689428319337600).

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

273721535126400 is a wasteful number, since it uses less digits than its factorization.

273721535126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50851 (or 50834 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 273721535126400 in words is "two hundred seventy-three trillion, seven hundred twenty-one billion, five hundred thirty-five million, one hundred twenty-six thousand, four hundred".