71953246890 has 160 divisors (see below), whose sum is σ = 225626860800. Its totient is φ = 16446392928.

The previous prime is 71953246823. The next prime is 71953246901. The reversal of 71953246890 is 9864235917.

71953246890 is a `hidden beast` number, since 7 + 1 + 95 + 3 + 2 + 468 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148339 + ... + 407321.

It is an arithmetic number, because the mean of its divisors is an integer number (1410167880).

It is a 1-persistent number, because it is pandigital, but 2⋅71953246890 = 143906493780 is not.

Almost surely, 2^71953246890 is an apocalyptic number.

71953246890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71953246890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112813430400).

71953246890 is an abundant number, since it is smaller than the sum of its proper divisors (153673613910).

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

71953246890 is a wasteful number, since it uses less digits than its factorization.

71953246890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259023 (or 259000 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 71953246890 in words is "seventy-one billion, nine hundred fifty-three million, two hundred forty-six thousand, eight hundred ninety".