61758798986880 has 768 divisors, whose sum is σ = 234286157064960. Its totient is φ = 15492479385600.

The previous prime is 61758798986839. The next prime is 61758798986921. The reversal of 61758798986880 is 8868989785716.

61758798986880 is a `hidden beast` number, since 6 + 17 + 587 + 9 + 8 + 9 + 8 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61758798986839) and next prime (61758798986921).

It is a super-2 number, since 2×61758798986880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

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, 6744431262 + ... + 6744440418.

It is an arithmetic number, because the mean of its divisors is an integer number (305060100345).

Almost surely, 2^{61758798986880} is an apocalyptic number.

61758798986880 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 61758798986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117143078532480).

61758798986880 is an abundant number, since it is smaller than the sum of its proper divisors (172527358078080).

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

61758798986880 is a wasteful number, since it uses less digits than its factorization.

61758798986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11759 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 23410114560, while the sum is 90.

The spelling of 61758798986880 in words is "sixty-one trillion, seven hundred fifty-eight billion, seven hundred ninety-eight million, nine hundred eighty-six thousand, eight hundred eighty".