8010538502400 has 5184 divisors, whose sum is σ = 39787015968000. Its totient is φ = 1560674304000.

The previous prime is 8010538502377. The next prime is 8010538502401. The reversal of 8010538502400 is 42058350108.

It is a happy number.

8010538502400 is a `hidden beast` number, since 8 + 0 + 105 + 3 + 8 + 502 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010538502401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 79312262350 + ... + 79312262450.

It is an arithmetic number, because the mean of its divisors is an integer number (7674964500).

Almost surely, 2^{8010538502400} is an apocalyptic number.

8010538502400 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 8010538502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893507984000).

8010538502400 is an abundant number, since it is smaller than the sum of its proper divisors (31776477465600).

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

8010538502400 is a wasteful number, since it uses less digits than its factorization.

8010538502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 8010538502400 in words is "eight trillion, ten billion, five hundred thirty-eight million, five hundred two thousand, four hundred".