45589700679120 has 960 divisors, whose sum is σ = 179303361350400. Its totient is φ = 10612784332800.

The previous prime is 45589700679119. The next prime is 45589700679121. The reversal of 45589700679120 is 2197600798554.

45589700679120 is a `hidden beast` number, since 4 + 558 + 9 + 7 + 0 + 0 + 6 + 79 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45589700679119) and next prime (45589700679121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45589700679121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4168386292 + ... + 4168397228.

It is an arithmetic number, because the mean of its divisors is an integer number (186774334740).

Almost surely, 2^{45589700679120} is an apocalyptic number.

45589700679120 is a gapful number since it is divisible by the number (40) 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 45589700679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651680675200).

45589700679120 is an abundant number, since it is smaller than the sum of its proper divisors (133713660671280).

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

45589700679120 is a wasteful number, since it uses less digits than its factorization.

45589700679120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 45589700679120 in words is "forty-five trillion, five hundred eighty-nine billion, seven hundred million, six hundred seventy-nine thousand, one hundred twenty".