78509352398400 has 1512 divisors, whose sum is σ = 358960780155744. Its totient is φ = 16090041139200.

The previous prime is 78509352398387. The next prime is 78509352398413. The reversal of 78509352398400 is 489325390587.

78509352398400 is a `hidden beast` number, since 7 + 8 + 5 + 0 + 93 + 52 + 3 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (78509352398387) and next prime (78509352398413).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 566527519 + ... + 566666081.

Almost surely, 2^{78509352398400} is an apocalyptic number.

78509352398400 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 78509352398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179480390077872).

78509352398400 is an abundant number, since it is smaller than the sum of its proper divisors (280451427757344).

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

78509352398400 is a wasteful number, since it uses less digits than its factorization.

78509352398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138689 (or 138664 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 78509352398400 in words is "seventy-eight trillion, five hundred nine billion, three hundred fifty-two million, three hundred ninety-eight thousand, four hundred".