61217241379200 has 1152 divisors, whose sum is σ = 231809328878400. Its totient is φ = 15351408230400.

The previous prime is 61217241379127. The next prime is 61217241379207. The reversal of 61217241379200 is 297314271216.

61217241379200 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 72 + 4 + 1 + 379 + 200 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61217241379207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10670598732 + ... + 10670604468.

Almost surely, 2^{61217241379200} is an apocalyptic number.

61217241379200 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 61217241379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115904664439200).

61217241379200 is an abundant number, since it is smaller than the sum of its proper divisors (170592087499200).

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

61217241379200 is a wasteful number, since it uses less digits than its factorization.

61217241379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6060 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 61217241379200 in words is "sixty-one trillion, two hundred seventeen billion, two hundred forty-one million, three hundred seventy-nine thousand, two hundred".