8158781030400 has 4320 divisors, whose sum is σ = 41156358602240. Its totient is φ = 1541564006400.

The previous prime is 8158781030399. The next prime is 8158781030417. The reversal of 8158781030400 is 40301878518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4320).

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 287 ways as a sum of consecutive naturals, for example, 121772851167 + ... + 121772851233.

Almost surely, 2^{8158781030400} is an apocalyptic number.

8158781030400 is a gapful number since it is divisible by the number (80) 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 8158781030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578179301120).

8158781030400 is an abundant number, since it is smaller than the sum of its proper divisors (32997577571840).

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

8158781030400 is a wasteful number, since it uses less digits than its factorization.

8158781030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 8158781030400 in words is "eight trillion, one hundred fifty-eight billion, seven hundred eighty-one million, thirty thousand, four hundred".