83397251520 has 336 divisors, whose sum is σ = 323027527680. Its totient is φ = 19565107200.

The previous prime is 83397251503. The next prime is 83397251537. The reversal of 83397251520 is 2515279338.

83397251520 is a `hidden beast` number, since 8 + 3 + 3 + 9 + 72 + 51 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (83397251503) and next prime (83397251537).

It is a super-2 number, since 2×83397251520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939621 + ... + 1024539.

Almost surely, 2^83397251520 is an apocalyptic number.

83397251520 is a gapful number since it is divisible by the number (80) 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 83397251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161513763840).

83397251520 is an abundant number, since it is smaller than the sum of its proper divisors (239630276160).

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

83397251520 is a wasteful number, since it uses less digits than its factorization.

83397251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84984 (or 84971 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 83397251520 in words is "eighty-three billion, three hundred ninety-seven million, two hundred fifty-one thousand, five hundred twenty".