78381289958400 has 6336 divisors, whose sum is σ = 372157626387456. Its totient is φ = 16052649984000.

The previous prime is 78381289958347. The next prime is 78381289958423. The reversal of 78381289958400 is 485998218387.

78381289958400 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 128 + 9 + 95 + 8 + 400 = 666.

78381289958400 is digitally balanced in base 3 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×78381289958400² (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1073716300764 + ... + 1073716300836.

Almost surely, 2^{78381289958400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78381289958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186078813193728).

78381289958400 is an abundant number, since it is smaller than the sum of its proper divisors (293776336429056).

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

78381289958400 is a wasteful number, since it uses less digits than its factorization.

78381289958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 78381289958400 in words is "seventy-eight trillion, three hundred eighty-one billion, two hundred eighty-nine million, nine hundred fifty-eight thousand, four hundred".