71954502760000 has 945 divisors, whose sum is σ = 213002275610421. Its totient is φ = 24039009792000.

The previous prime is 71954502759949. The next prime is 71954502760031. The reversal of 71954502760000 is 6720545917.

The square root of 71954502760000 is 8482600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 51036393088576 + 20918109671424 = 7143976^2 + 4573632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 866921719959 + ... + 866921720041.

Almost surely, 2^{71954502760000} is an apocalyptic number.

71954502760000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71954502760000 is the 8482600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71954502760000

71954502760000 is an abundant number, since it is smaller than the sum of its proper divisors (141047772850421).

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

71954502760000 is an frugal number, since it uses more digits than its factorization.

71954502760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 71954502760000 in words is "seventy-one trillion, nine hundred fifty-four billion, five hundred two million, seven hundred sixty thousand".