8725658040000 has 4480 divisors, whose sum is σ = 40220725248000. Its totient is φ = 1828915200000.

The previous prime is 8725658039977. The next prime is 8725658040017. The reversal of 8725658040000 is 408565278.

8725658040000 is a `hidden beast` number, since 8 + 7 + 2 + 565 + 80 + 4 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×8725658040000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 202922279979 + ... + 202922280021.

Almost surely, 2^{8725658040000} is an apocalyptic number.

8725658040000 is a gapful number since it is divisible by the number (80) 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 8725658040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110362624000).

8725658040000 is an abundant number, since it is smaller than the sum of its proper divisors (31495067208000).

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

8725658040000 is a wasteful number, since it uses less digits than its factorization.

8725658040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 8725658040000 in words is "eight trillion, seven hundred twenty-five billion, six hundred fifty-eight million, forty thousand".