61988849153280 has 864 divisors, whose sum is σ = 257879433547008. Its totient is φ = 13449668198400.

The previous prime is 61988849153269. The next prime is 61988849153333. The reversal of 61988849153280 is 8235194888916.

61988849153280 is a `hidden beast` number, since 6 + 1 + 9 + 8 + 8 + 8 + 4 + 9 + 1 + 532 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61988849153199 and 61988849153208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122077515 + ... + 122584245.

Almost surely, 2^{61988849153280} is an apocalyptic number.

61988849153280 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 61988849153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128939716773504).

61988849153280 is an abundant number, since it is smaller than the sum of its proper divisors (195890584393728).

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

61988849153280 is a wasteful number, since it uses less digits than its factorization.

61988849153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506843 (or 506826 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 61988849153280 in words is "sixty-one trillion, nine hundred eighty-eight billion, eight hundred forty-nine million, one hundred fifty-three thousand, two hundred eighty".