61988429280 has 96 divisors (see below), whose sum is σ = 195454141344. Its totient is φ = 16514113536.

The previous prime is 61988429257. The next prime is 61988429303. The reversal of 61988429280 is 8292488916.

It is an interprime number because it is at equal distance from previous prime (61988429257) and next prime (61988429303).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61988429280² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61988429280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433332 + ... + 558348.

It is an arithmetic number, because the mean of its divisors is an integer number (2035980639).

Almost surely, 2^61988429280 is an apocalyptic number.

61988429280 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 61988429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97727070672).

61988429280 is an abundant number, since it is smaller than the sum of its proper divisors (133465712064).

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

61988429280 is a wasteful number, since it uses less digits than its factorization.

61988429280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126068 (or 126060 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 61988429280 in words is "sixty-one billion, nine hundred eighty-eight million, four hundred twenty-nine thousand, two hundred eighty".