78153930816000 has 2560 divisors, whose sum is σ = 313693894305792. Its totient is φ = 17066203545600.

The previous prime is 78153930815971. The next prime is 78153930816007. The reversal of 78153930816000 is 61803935187.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×78153930816000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (78153930816007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71243327452 + ... + 71243328548.

Almost surely, 2^{78153930816000} 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 78153930816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156846947152896).

78153930816000 is an abundant number, since it is smaller than the sum of its proper divisors (235539963489792).

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

78153930816000 is a wasteful number, since it uses less digits than its factorization.

78153930816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 78153930816000 in words is "seventy-eight trillion, one hundred fifty-three billion, nine hundred thirty million, eight hundred sixteen thousand".