84751921417152 has 896 divisors, whose sum is σ = 264989433139200. Its totient is φ = 23636584857600.

The previous prime is 84751921417091. The next prime is 84751921417159. The reversal of 84751921417152 is 25171412915748.

It is a super-2 number, since 2×84751921417152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 84751921417092 and 84751921417101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84751921417159) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50060200818 + ... + 50060202510.

It is an arithmetic number, because the mean of its divisors is an integer number (295747135200).

Almost surely, 2^{84751921417152} 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 84751921417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132494716569600).

84751921417152 is an abundant number, since it is smaller than the sum of its proper divisors (180237511722048).

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

84751921417152 is a wasteful number, since it uses less digits than its factorization.

84751921417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2055 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 57.

The spelling of 84751921417152 in words is "eighty-four trillion, seven hundred fifty-one billion, nine hundred twenty-one million, four hundred seventeen thousand, one hundred fifty-two".