59997314979840 has 768 divisors, whose sum is σ = 224933829120000. Its totient is φ = 13366878142464.

The previous prime is 59997314979757. The next prime is 59997314979851. The reversal of 59997314979840 is 4897941379995.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4614106779 + ... + 4614119781.

It is an arithmetic number, because the mean of its divisors is an integer number (292882590000).

Almost surely, 2^{59997314979840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59997314979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112466914560000).

59997314979840 is an abundant number, since it is smaller than the sum of its proper divisors (164936514140160).

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

59997314979840 is a wasteful number, since it uses less digits than its factorization.

59997314979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13582 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 84.

The spelling of 59997314979840 in words is "fifty-nine trillion, nine hundred ninety-seven billion, three hundred fourteen million, nine hundred seventy-nine thousand, eight hundred forty".