61387084249920 has 1792 divisors, whose sum is σ = 270497603174400. Its totient is φ = 12891474984960.

The previous prime is 61387084249889. The next prime is 61387084250003. The reversal of 61387084249920 is 2994248078316.

61387084249920 is a `hidden beast` number, since 6 + 1 + 3 + 87 + 0 + 8 + 42 + 499 + 20 = 666.

It is a super-2 number, since 2×61387084249920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1506078501 + ... + 1506119259.

It is an arithmetic number, because the mean of its divisors is an integer number (150947323200).

Almost surely, 2^{61387084249920} is an apocalyptic number.

61387084249920 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 61387084249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135248801587200).

61387084249920 is an abundant number, since it is smaller than the sum of its proper divisors (209110518924480).

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

61387084249920 is a wasteful number, since it uses less digits than its factorization.

61387084249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40885 (or 40869 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 61387084249920 in words is "sixty-one trillion, three hundred eighty-seven billion, eighty-four million, two hundred forty-nine thousand, nine hundred twenty".