61072215586200 has 960 divisors, whose sum is σ = 267133458197760. Its totient is φ = 12585888967680.

The previous prime is 61072215586163. The next prime is 61072215586237. The reversal of 61072215586200 is 268551227016.

61072215586200 is a `hidden beast` number, since 6 + 1 + 0 + 7 + 2 + 2 + 15 + 5 + 8 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61072215586163) and next prime (61072215586237).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62908887 + ... + 63872313.

It is an arithmetic number, because the mean of its divisors is an integer number (278264018956).

Almost surely, 2^{61072215586200} is an apocalyptic number.

61072215586200 is a gapful number since it is divisible by the number (60) 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 61072215586200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133566729098880).

61072215586200 is an abundant number, since it is smaller than the sum of its proper divisors (206061242611560).

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

61072215586200 is a wasteful number, since it uses less digits than its factorization.

61072215586200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963518 (or 963500 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 61072215586200 in words is "sixty-one trillion, seventy-two billion, two hundred fifteen million, five hundred eighty-six thousand, two hundred".