65877384896400 has 480 divisors, whose sum is σ = 263157019158528. Its totient is φ = 13685782118400.

The previous prime is 65877384896383. The next prime is 65877384896423. The reversal of 65877384896400 is 469848377856.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430784752 + ... + 430937648.

Almost surely, 2^{65877384896400} is an apocalyptic number.

65877384896400 is a gapful number since it is divisible by the number (60) 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 65877384896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131578509579264).

65877384896400 is an abundant number, since it is smaller than the sum of its proper divisors (197279634262128).

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

65877384896400 is a wasteful number, since it uses less digits than its factorization.

65877384896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157599 (or 157588 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 75.

The spelling of 65877384896400 in words is "sixty-five trillion, eight hundred seventy-seven billion, three hundred eighty-four million, eight hundred ninety-six thousand, four hundred".