61228506890880 has 1152 divisors, whose sum is σ = 255764699124480. Its totient is φ = 13956316028928.

The previous prime is 61228506890833. The next prime is 61228506890927. The reversal of 61228506890880 is 8809860582216.

61228506890880 is a `hidden beast` number, since 6 + 12 + 28 + 506 + 8 + 90 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61228506890833) and next prime (61228506890927).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2796705214 + ... + 2796727106.

It is an arithmetic number, because the mean of its divisors is an integer number (222017967990).

Almost surely, 2^{61228506890880} is an apocalyptic number.

61228506890880 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 61228506890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127882349562240).

61228506890880 is an abundant number, since it is smaller than the sum of its proper divisors (194536192233600).

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

61228506890880 is a wasteful number, since it uses less digits than its factorization.

61228506890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22308 (or 22277 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 61228506890880 in words is "sixty-one trillion, two hundred twenty-eight billion, five hundred six million, eight hundred ninety thousand, eight hundred eighty".