71099078400 has 1134 divisors, whose sum is σ = 307915963992. Its totient is φ = 16198963200.

The previous prime is 71099078387. The next prime is 71099078419. The reversal of 71099078400 is 487099017.

It is a tau number, because it is divible by the number of its divisors (1134).

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 polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 228614245 + ... + 228614555.

Almost surely, 2^71099078400 is an apocalyptic number.

71099078400 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 71099078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153957981996).

71099078400 is an abundant number, since it is smaller than the sum of its proper divisors (236816885592).

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

71099078400 is an equidigital number, since it uses as much as digits as its factorization.

71099078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 71099078400 in words is "seventy-one billion, ninety-nine million, seventy-eight thousand, four hundred".