78701051520 has 1536 divisors, whose sum is σ = 356286228480. Its totient is φ = 16160145408.

The previous prime is 78701051503. The next prime is 78701051593. The reversal of 78701051520 is 2515010787.

78701051520 is a `hidden beast` number, since 7 + 8 + 70 + 10 + 51 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 948205399 + ... + 948205481.

It is an arithmetic number, because the mean of its divisors is an integer number (231957180).

Almost surely, 2^78701051520 is an apocalyptic number.

78701051520 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 78701051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178143114240).

78701051520 is an abundant number, since it is smaller than the sum of its proper divisors (277585176960).

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

78701051520 is a wasteful number, since it uses less digits than its factorization.

78701051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 78701051520 in words is "seventy-eight billion, seven hundred one million, fifty-one thousand, five hundred twenty".