61215804622560 has 768 divisors, whose sum is σ = 243559584350208. Its totient is φ = 12592710451200.

The previous prime is 61215804622547. The next prime is 61215804622601. The reversal of 61215804622560 is 6522640851216.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6793448455 + ... + 6793457465.

It is an arithmetic number, because the mean of its divisors is an integer number (317134875456).

Almost surely, 2^{61215804622560} is an apocalyptic number.

61215804622560 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 61215804622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121779792175104).

61215804622560 is an abundant number, since it is smaller than the sum of its proper divisors (182343779727648).

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

61215804622560 is a wasteful number, since it uses less digits than its factorization.

61215804622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247 (or 14239 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 61215804622560 in words is "sixty-one trillion, two hundred fifteen billion, eight hundred four million, six hundred twenty-two thousand, five hundred sixty".