78552001433520 has 240 divisors, whose sum is σ = 266784057540000. Its totient is φ = 20710583562240.

The previous prime is 78552001433501. The next prime is 78552001433567. The reversal of 78552001433520 is 2533410025587.

78552001433520 is a `hidden beast` number, since 7 + 8 + 5 + 5 + 200 + 1 + 433 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1585891155 + ... + 1585940685.

It is an arithmetic number, because the mean of its divisors is an integer number (1111600239750).

Almost surely, 2^{78552001433520} 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 78552001433520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133392028770000).

78552001433520 is an abundant number, since it is smaller than the sum of its proper divisors (188232056106480).

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

78552001433520 is a wasteful number, since it uses less digits than its factorization.

78552001433520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74388 (or 74379 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 78552001433520 in words is "seventy-eight trillion, five hundred fifty-two billion, one million, four hundred thirty-three thousand, five hundred twenty".