84738072510 has 256 divisors, whose sum is σ = 287088721920. Its totient is φ = 17301911040.

The previous prime is 84738072493. The next prime is 84738072527. The reversal of 84738072510 is 1527083748.

It is an interprime number because it is at equal distance from previous prime (84738072493) and next prime (84738072527).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706044 + ... + 817296.

It is an arithmetic number, because the mean of its divisors is an integer number (1121440320).

Almost surely, 2^84738072510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84738072510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143544360960).

84738072510 is an abundant number, since it is smaller than the sum of its proper divisors (202350649410).

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

84738072510 is a wasteful number, since it uses less digits than its factorization.

84738072510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111320 (or 111314 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 84738072510 in words is "eighty-four billion, seven hundred thirty-eight million, seventy-two thousand, five hundred ten".