21725762765040 has 240 divisors, whose sum is σ = 76924223201280. Its totient is φ = 5479913295360.

The previous prime is 21725762764999. The next prime is 21725762765081. The reversal of 21725762765040 is 4056726752712.

21725762765040 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 5 + 7 + 62 + 76 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21725762764999) and next prime (21725762765081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7373649 + ... + 9890511.

It is an arithmetic number, because the mean of its divisors is an integer number (320517596672).

Almost surely, 2^{21725762765040} is an apocalyptic number.

21725762765040 is a gapful number since it is divisible by the number (20) 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 21725762765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38462111600640).

21725762765040 is an abundant number, since it is smaller than the sum of its proper divisors (55198460436240).

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

21725762765040 is a wasteful number, since it uses less digits than its factorization.

21725762765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517532 (or 2517523 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 21725762765040 in words is "twenty-one trillion, seven hundred twenty-five billion, seven hundred sixty-two million, seven hundred sixty-five thousand, forty".