78726961152000 has 2880 divisors, whose sum is σ = 347716651376640. Its totient is φ = 17414258688000.

The previous prime is 78726961151989. The next prime is 78726961152023. The reversal of 78726961152000 is 25116962787.

78726961152000 is a `hidden beast` number, since 7 + 8 + 7 + 26 + 96 + 1 + 1 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2539579391985 + ... + 2539579392015.

Almost surely, 2^{78726961152000} is an apocalyptic number.

78726961152000 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 78726961152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173858325688320).

78726961152000 is an abundant number, since it is smaller than the sum of its proper divisors (268989690224640).

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

78726961152000 is an frugal number, since it uses more digits than its factorization.

78726961152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 78726961152000 in words is "seventy-eight trillion, seven hundred twenty-six billion, nine hundred sixty-one million, one hundred fifty-two thousand".