78148200617400 has 192 divisors, whose sum is σ = 248815846954080. Its totient is φ = 20275566796800.

The previous prime is 78148200617387. The next prime is 78148200617419. The reversal of 78148200617400 is 471600284187.

It is a super-2 number, since 2×78148200617400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78148200617400.

It is a congruent number.

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, 938596572 + ... + 938679828.

Almost surely, 2^{78148200617400} 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 78148200617400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407923477040).

78148200617400 is an abundant number, since it is smaller than the sum of its proper divisors (170667646336680).

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

78148200617400 is a wasteful number, since it uses less digits than its factorization.

78148200617400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125594 (or 125585 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 78148200617400 in words is "seventy-eight trillion, one hundred forty-eight billion, two hundred million, six hundred seventeen thousand, four hundred".