45720117900 has 270 divisors, whose sum is σ = 157445479268. Its totient is φ = 11474265600.

The previous prime is 45720117769. The next prime is 45720117967. The reversal of 45720117900 is 971102754.

It is a happy number.

45720117900 is a `hidden beast` number, since 4 + 572 + 0 + 11 + 79 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2331135 + ... + 2350665.

Almost surely, 2^45720117900 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 45720117900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78722739634).

45720117900 is an abundant number, since it is smaller than the sum of its proper divisors (111725361368).

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

45720117900 is a wasteful number, since it uses less digits than its factorization.

45720117900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19591 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 45720117900 in words is "forty-five billion, seven hundred twenty million, one hundred seventeen thousand, nine hundred".