71216545400 has 384 divisors, whose sum is σ = 224145653760. Its totient is φ = 20321280000.

The previous prime is 71216545399. The next prime is 71216545451. The reversal of 71216545400 is 454561217.

It is a super-2 number, since 2×71216545400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25424000 + ... + 25426800.

It is an arithmetic number, because the mean of its divisors is an integer number (583712640).

Almost surely, 2^71216545400 is an apocalyptic number.

71216545400 is a gapful number since it is divisible by the number (70) 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 71216545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112072826880).

71216545400 is an abundant number, since it is smaller than the sum of its proper divisors (152929108360).

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

71216545400 is a wasteful number, since it uses less digits than its factorization.

71216545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

It can be divided in two parts, 71216 and 545400, that added together give a palindrome (616616).

The spelling of 71216545400 in words is "seventy-one billion, two hundred sixteen million, five hundred forty-five thousand, four hundred".