78381616712000 has 1344 divisors, whose sum is σ = 249941210568192. Its totient is φ = 23765114880000.

The previous prime is 78381616711999. The next prime is 78381616712027. The reversal of 78381616712000 is 21761618387.

It is a super-2 number, since 2×78381616712000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 78381616712000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45021031130 + ... + 45021032870.

Almost surely, 2^{78381616712000} is an apocalyptic number.

78381616712000 is a gapful number since it is divisible by the number (70) 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 78381616712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124970605284096).

78381616712000 is an abundant number, since it is smaller than the sum of its proper divisors (171559593856192).

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

78381616712000 is a wasteful number, since it uses less digits than its factorization.

78381616712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 78381616712000 in words is "seventy-eight trillion, three hundred eighty-one billion, six hundred sixteen million, seven hundred twelve thousand".